Chapter 3 Kinematics in Two Dimensions. 3.1 – d, v, & a A bullet is fired horizontally. A second...

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Chapter 3 Chapter 3 Kinematics in Two Dimensions

Transcript of Chapter 3 Kinematics in Two Dimensions. 3.1 – d, v, & a A bullet is fired horizontally. A second...

Page 1: Chapter 3 Kinematics in Two Dimensions. 3.1 – d, v, & a A bullet is fired horizontally. A second bullet is dropped at the same time and at from the same.

Chapter 3Chapter 3Kinematics in Two

Dimensions

Page 2: Chapter 3 Kinematics in Two Dimensions. 3.1 – d, v, & a A bullet is fired horizontally. A second bullet is dropped at the same time and at from the same.

3.1 – d, v, & a3.1 – d, v, & a

A bullet is fired horizontally. A second bullet is dropped at the same time and

at from the same height as the first bullet. Ignoring air resistance, which

bullet will hit the ground first?

…DEMONSTRATION…

Page 3: Chapter 3 Kinematics in Two Dimensions. 3.1 – d, v, & a A bullet is fired horizontally. A second bullet is dropped at the same time and at from the same.

3.2 – Kinematics Equations 3.2 – Kinematics Equations in 2-Din 2-DSame equations as Chapter 2.

The x component does not affect the y component of the motion.

Break the problem down into x and y directions; solve equations separately.

Page 4: Chapter 3 Kinematics in Two Dimensions. 3.1 – d, v, & a A bullet is fired horizontally. A second bullet is dropped at the same time and at from the same.

3.3 – Projectile Motion3.3 – Projectile Motion

Page 5: Chapter 3 Kinematics in Two Dimensions. 3.1 – d, v, & a A bullet is fired horizontally. A second bullet is dropped at the same time and at from the same.

3.3 – Projectile Motion3.3 – Projectile Motion

Page 6: Chapter 3 Kinematics in Two Dimensions. 3.1 – d, v, & a A bullet is fired horizontally. A second bullet is dropped at the same time and at from the same.

3.3 – Projectile Motion3.3 – Projectile Motion

Page 7: Chapter 3 Kinematics in Two Dimensions. 3.1 – d, v, & a A bullet is fired horizontally. A second bullet is dropped at the same time and at from the same.

ASSIGN:

Ch. 3 #14-26 (evens)

Due Thursday

Page 8: Chapter 3 Kinematics in Two Dimensions. 3.1 – d, v, & a A bullet is fired horizontally. A second bullet is dropped at the same time and at from the same.

1. A bus moving at a speed of 20 m/s begins to slow at a rate of 3 m/s each second. Find how far it goes before stopping.

66.7 m

Page 9: Chapter 3 Kinematics in Two Dimensions. 3.1 – d, v, & a A bullet is fired horizontally. A second bullet is dropped at the same time and at from the same.

2. An object starts from rest with constant acceleration of 8 m/s2 along a straight line. Find

(a)the speed at the end of 5 seconds.

(b) the average speed for the 5 second interval, and

(c) the distance traveled in the 5 seconds.

(a) 40 m/s, (b) 20 m/s, (c) 100 m

Page 10: Chapter 3 Kinematics in Two Dimensions. 3.1 – d, v, & a A bullet is fired horizontally. A second bullet is dropped at the same time and at from the same.

3. A stone is thrown straight upward and it rises to a height of 20 m. With what speed was it thrown?

(a) -17.4 m/s, (b) 3.8 s

Page 11: Chapter 3 Kinematics in Two Dimensions. 3.1 – d, v, & a A bullet is fired horizontally. A second bullet is dropped at the same time and at from the same.

4. A projectile is fired horizontally with a velocity of 30 m/s from the top of a 80 m high cliff.

(a)How long will it take to strike the level ground at the base of the cliff?

(b)How far from the foot of the cliff will it strike?

(c)With what velocity (vector) will it strike?

(a) T = 4.04 s, (b) 121m, (c) 50.0 m/s @ 53° S of

Page 12: Chapter 3 Kinematics in Two Dimensions. 3.1 – d, v, & a A bullet is fired horizontally. A second bullet is dropped at the same time and at from the same.

5. A baseball is thrown with an initial velocity of 100 m/s at an angle of 30° above the horizontal. How far from the throwing point will the baseball attain its original level?

884 m