The horizontal and vertical parts of a diagonal vector. A.Resultants B.Components C.Cosecants...

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Mr. Gabrielse The horizontal and vertical parts of a diagonal vector. A.Resultants B.Components C.Cosecants D.Hypotenuses B

Transcript of The horizontal and vertical parts of a diagonal vector. A.Resultants B.Components C.Cosecants...

Page 1: The horizontal and vertical parts of a diagonal vector. A.Resultants B.Components C.Cosecants D.Hypotenuses B.

The horizontal and vertical parts of a diagonal vector.

A. Resultants

B. Components

C. Cosecants

D. Hypotenuses

B

Page 2: The horizontal and vertical parts of a diagonal vector. A.Resultants B.Components C.Cosecants D.Hypotenuses B.

The path of a projectile is called its:

A. Trail

B. Trajectory

C. Route

D. Projection B

Page 3: The horizontal and vertical parts of a diagonal vector. A.Resultants B.Components C.Cosecants D.Hypotenuses B.

The trajectory of a launched projectile is a

A. Straight line

B. Hyperbola

C. Parabola

D. Circular arc C

Page 4: The horizontal and vertical parts of a diagonal vector. A.Resultants B.Components C.Cosecants D.Hypotenuses B.

A ball is thrown straight up. At its highest point its velocity is ____ and its

acceleration is _____A. 0, 0

B. 0, 9.8 m/s2 down

C. 9.8 m/s, 0

D. 9.8 m/s, 9.8 m/s2 up

B

Page 5: The horizontal and vertical parts of a diagonal vector. A.Resultants B.Components C.Cosecants D.Hypotenuses B.

If air resistance is negligible the acceleration of an object in free fall (on Earth) ______

A. Depends on how heavy it is

B. Is 9.8 m/s2 upward if the object is moving up and 9.8 m/s2 downward if the object is moving down.

C. Is 9.8 m/s2 down regardless of the direction the object is moving.

C

Page 6: The horizontal and vertical parts of a diagonal vector. A.Resultants B.Components C.Cosecants D.Hypotenuses B.

Speed a dropped object will be traveling 3 seconds later is most nearly:

A. 10 m/s

B. 15 m/s

C. 25 m/s

D. 30 m/s D

Page 7: The horizontal and vertical parts of a diagonal vector. A.Resultants B.Components C.Cosecants D.Hypotenuses B.

If an object is thrown straight upward at 23 m/s what is its velocity 2.0 seconds later

A. About 10 m/s up

B. About 10 m/s down

C. About 3 m/s up

D. About 3 m/s down C

Page 8: The horizontal and vertical parts of a diagonal vector. A.Resultants B.Components C.Cosecants D.Hypotenuses B.

A ball thrown straight upward takes approximately 2 seconds to reach its highest

point. At what speed was it thrown?A. 5 m/s

B. 10 m/s

C. 20 m/s

D. 30 m/s

E. 40 m/s

C

Page 9: The horizontal and vertical parts of a diagonal vector. A.Resultants B.Components C.Cosecants D.Hypotenuses B.

A ball that is thrown straight up at 30 m/s reaches a maximum height of

A. 10 m

B. 30 m

C. 45 m

D. 90 mC

Page 10: The horizontal and vertical parts of a diagonal vector. A.Resultants B.Components C.Cosecants D.Hypotenuses B.

A ball is thrown straight upward at 20 m/s. It returns to where it was thrown in about:

A. 1.0 s

B. 2.0 s

C. 3.0 s

D. 4.0 s D

Page 11: The horizontal and vertical parts of a diagonal vector. A.Resultants B.Components C.Cosecants D.Hypotenuses B.

The horizontal acceleration of a projectile on earth.

A. +9.8 m/s2

B. -9.8 m/s2

C. 0.0 m/s2

D. -32 ft/s2 C

Page 12: The horizontal and vertical parts of a diagonal vector. A.Resultants B.Components C.Cosecants D.Hypotenuses B.

As a projectile falls its horizontal velocity _______.

A) stays the same

B) is accelerated by gravity

C) is accelerated by the launcher

D) is zero

A

Page 13: The horizontal and vertical parts of a diagonal vector. A.Resultants B.Components C.Cosecants D.Hypotenuses B.

As a projectile falls its vertical velocity _________.

A) stays the same

B) is accelerated by gravity

C) is accelerated by the launcher

D) is zero

B

Page 14: The horizontal and vertical parts of a diagonal vector. A.Resultants B.Components C.Cosecants D.Hypotenuses B.

What is the direction of a projectile’s velocity at the highest

point in its motion?

A) no velocity

B) just horizontal

C) just vertical

D) both horizontal and vertical

E) big & negative

B

Page 15: The horizontal and vertical parts of a diagonal vector. A.Resultants B.Components C.Cosecants D.Hypotenuses B.

A projectile is launched at an angle from a level surface. What would the horizontal position (x)

vs. time graph look like?

Time (s)

Position vs. Time

Pos

ition

(m

)

Time (s)

Position vs. Time

Pos

ition

(m

)

Time (s)

Position vs. Time

Pos

ition

(m

)Time (s)

Position vs. Time

Pos

ition

(m

)

Time (s)

Position vs. Time

Pos

ition

(m

)

Time (s)

Position vs. Time

Pos

ition

(m

)

E)

A)

F)

C)B)

D)

A

Page 16: The horizontal and vertical parts of a diagonal vector. A.Resultants B.Components C.Cosecants D.Hypotenuses B.

What would the vertical position (y) vs. time graph look like?

Time (s)

Position vs. Time

Pos

ition

(m

)

Time (s)

Position vs. Time

Pos

ition

(m

)

Time (s)

Position vs. Time

Pos

ition

(m

)Time (s)

Position vs. Time

Pos

ition

(m

)

Time (s)

Position vs. Time

Pos

ition

(m

)

Time (s)

Position vs. Time

Pos

ition

(m

)

E)

A)

F)

C)B)

D)

E

Page 17: The horizontal and vertical parts of a diagonal vector. A.Resultants B.Components C.Cosecants D.Hypotenuses B.

What would the horizontal velocity (vx) vs. time graph look like?

Time (s)

Velocity vs. Time

Vel

ocity

(m

/s)

Time (s)

Velocity vs. Time

Vel

ocity

(m

/s)

Time (s)

Velocity vs. Time

Vel

ocity

(m

/s)

Time (s)

Velocity vs. Time

Vel

ocity

(m

/s)

Time (s)

Velocity vs. Time

Vel

ocity

(m

/s)

Time (s)

Velocity vs. Time

Vel

ocity

(m

/s)

E)

A)

F)

C)B)

D)

A

Page 18: The horizontal and vertical parts of a diagonal vector. A.Resultants B.Components C.Cosecants D.Hypotenuses B.

What would the vertical velocity (vy) vs. time graph look like?

Time (s)

Velocity vs. Time

Vel

ocity

(m

/s)

Time (s)

Velocity vs. Time

Vel

ocity

(m

/s)

Time (s)

Velocity vs. Time

Vel

ocity

(m

/s)

Time (s)

Velocity vs. Time

Vel

ocity

(m

/s)

Time (s)

Velocity vs. Time

Vel

ocity

(m

/s)

Time (s)

Velocity vs. Time

Vel

ocity

(m

/s)

E)

A)

F)

C)B)

D)

F

Page 19: The horizontal and vertical parts of a diagonal vector. A.Resultants B.Components C.Cosecants D.Hypotenuses B.

You jump off a springboard at an angle and dive gracefully into a pool. At the peak of your jump, your vertical velocity is _____________.

A. positive & constant

B. positive & changing

C. negative & constant

D. negative & changing

E. zero & constant

F. zero & changing

F

Page 20: The horizontal and vertical parts of a diagonal vector. A.Resultants B.Components C.Cosecants D.Hypotenuses B.

You jump off a springboard at an angle and dive gracefully into a pool. At the peak of your jump, your horizontal velocity is _____________.

A. positive & constant

B. positive & changing

C. negative & constant

D. negative & changing

E. zero & constant

F. zero & changing

A

Page 21: The horizontal and vertical parts of a diagonal vector. A.Resultants B.Components C.Cosecants D.Hypotenuses B.

A baseball is hit upward and travels along a parabolic arc before it strikes the ground. Which of the following statements is true?

A. The acceleration of the ball decreases as the ball moves upward

B. The velocity of the ball is zero when the ball is at the highest point in the arc

C. The acceleration of the ball is zero when the ball is at the highest point in the arc

D. The x-component of the ball’s velocity is the same throughout the ball’s flight

E. The velocity of the ball is a maximum at the highest point in the arc.

D

Page 22: The horizontal and vertical parts of a diagonal vector. A.Resultants B.Components C.Cosecants D.Hypotenuses B.

How do the x an y components of the velocity vector compare at points B & C?

A. The velocity components are non-zero at B and zero at C.

B. The x-components are the same; the y component at C is zero

C. The x components are the same; the y component has a larger magnitude at C than at B.

D. The x component is larger at C than at B; The y component at B points up while at C, it points downward.

E. The x component is larger at B than at C; the y-component at B points down while at C, it points upward.

B

Page 23: The horizontal and vertical parts of a diagonal vector. A.Resultants B.Components C.Cosecants D.Hypotenuses B.

How do the x and y components of the ball compare at the points A & D?

A. The velocity components are non-zero at A and are zero at D.

B. The velocity components are the same in magnitude and direction at both points.

C. The velocity components have the same magnitudes at both points, but their directions are reversed.

D. The velocity components have the same magnitudes at both points but the direction of the x components are reversed.

E. The velocity components have the same magnitudes at both points, but the directions of the y-components are reversed. E

Page 24: The horizontal and vertical parts of a diagonal vector. A.Resultants B.Components C.Cosecants D.Hypotenuses B.

Which statement is true concerning the ball when it is at point C?

A. The ball’s velocity and acceleration are both zero

B. The ball’s velocity is perpendicular to its acceleration

C. The ball’s velocity is not zero, but its acceleration is zero

D. The ball’s velocity is zero, but its acceleration is not zero.

E. The horizontal and vertical components of the ball’s velocity are equal.

B

Page 25: The horizontal and vertical parts of a diagonal vector. A.Resultants B.Components C.Cosecants D.Hypotenuses B.

At which point is the velocity vector changing most rapidly with time?

A. A

B. B

C. C

D. D

E. It is changing at the same rate at all 4 points.

E

Page 26: The horizontal and vertical parts of a diagonal vector. A.Resultants B.Components C.Cosecants D.Hypotenuses B.

A projectile is launched horizontally from a cliff at 40 m/s. Three seconds later the horizontal component of its

velocity is:A. 10 m/s

B. 30 m/s

C. 40 m/s

D. 50 m/sC

Page 27: The horizontal and vertical parts of a diagonal vector. A.Resultants B.Components C.Cosecants D.Hypotenuses B.

A projectile is launched horizontally from a cliff at 40 m/s. Three seconds later the

vertical component of its velocity is about:A. 10 m/s

B. 30 m/s

C. 40 m/s

D. 50 m/s

B

Page 28: The horizontal and vertical parts of a diagonal vector. A.Resultants B.Components C.Cosecants D.Hypotenuses B.

A projectile is launched horizontally from a cliff at 40 m/s. Three seconds later its speed

is:A. 10 m/s

B. 30 m/s

C. 40 m/s

D. 50 m/s

D

Page 29: The horizontal and vertical parts of a diagonal vector. A.Resultants B.Components C.Cosecants D.Hypotenuses B.

A projectile is launched at 20 m/s at an angle of 30o above horizontal. The horizontal component of its initial velocity is:

A. 20 m/s

B. 10 m/s

C. 17.3 m/s

D. 19.6 m/sC

Page 30: The horizontal and vertical parts of a diagonal vector. A.Resultants B.Components C.Cosecants D.Hypotenuses B.

A projectile is launched at 20 m/s at an angle of 30o above horizontal. The vertical component of its initial velocity is:

A. 10 m/s

B. 20 m/s

C. 17.3 m/s

D. 9.8 m/s

A

Page 31: The horizontal and vertical parts of a diagonal vector. A.Resultants B.Components C.Cosecants D.Hypotenuses B.

A projectile is launched at 20 m/s at an angle of 30o above horizontal. At its

highest point the total velocity is ____ and the acceleration is _____.

A. 20 m/s 9.8 m/s/s

B. 0.0 m/s 9.8 m/s/s

C. 10 m/s 0 m/s/s

D. 17.3 m/s 0 m/s/s

E. 17.3 m/s 9.8 m/s/s

E

Page 32: The horizontal and vertical parts of a diagonal vector. A.Resultants B.Components C.Cosecants D.Hypotenuses B.

A projectile is launched at 20 m/s at an angle of 30o above horizontal. The amount

of time it remains airborne is about.A. 1.0 seconds

B. 2.0 seconds

C. 4.0 seconds

D. 6.0 seconds

B

Page 33: The horizontal and vertical parts of a diagonal vector. A.Resultants B.Components C.Cosecants D.Hypotenuses B.

A projectile launched at 20 m/s at an angle of 30o lands on a level surface.

How far away does it land?A. 40 meters

B. 20 meters

C. 34 meters

D. 9.8 meters

E. 17 meters

C

Page 34: The horizontal and vertical parts of a diagonal vector. A.Resultants B.Components C.Cosecants D.Hypotenuses B.

A rock kicked horizontally at 10 m/s from the edge of a cliff lands 55 m from the base of the cliff. How long is the rock in the air?

A. 1.0 s

B. 1.2 s

C. 3.4 s

D. 5.5 s

E. 11.2 sD

Page 35: The horizontal and vertical parts of a diagonal vector. A.Resultants B.Components C.Cosecants D.Hypotenuses B.

What is the approximate height of the cliff?

A. 27 m

B. 54 m

C. 150 m

D. 300 m

E. 730 m

C

Page 36: The horizontal and vertical parts of a diagonal vector. A.Resultants B.Components C.Cosecants D.Hypotenuses B.

A projectile is fired at an angle of 60o above horizontal with an initial speed of 30 m/s. What is the magnitude of the horizontal component of the projectile’s displacement at the end of 2 s?

A. 30 m

B. 40 m

C. 10 m

D. 20 m

E. 50 m

A

Page 37: The horizontal and vertical parts of a diagonal vector. A.Resultants B.Components C.Cosecants D.Hypotenuses B.

A projectile is fired at an angle of 60o above horizontal with an initial speed of 30 m/s. How

long does it take the projectile to reach the highest point in its trajectory?

A. 1.5 s

B. 2.7 s

C. 4.0 s

D. 6.2 s

E. 9.8 s

B

Page 38: The horizontal and vertical parts of a diagonal vector. A.Resultants B.Components C.Cosecants D.Hypotenuses B.

A student standing on the edge of a cliff throws a stone vertically downward with an initial speed of

10 m/s. The instant before the stone hits the ground below, it is traveling at a speed of 30 m/s.

If the physics student were to throw the rock horizontally outward from the cliff instead, with the same initial speed of 10 m/s, how fast would the stone be traveling just before it hits the ground?

A. 10 m/s

B. 20 m/s

C. 30 m/s

D. 40 m/s

E. The height of the cliff must be specified to answer this question.

C