Projectile Motion is the motion Of objects moving In two Dimensions under the influence Of gravity....
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Transcript of Projectile Motion is the motion Of objects moving In two Dimensions under the influence Of gravity....
Projectile Motion is the motion Of objects moving In two
Dimensions under the influenceOf gravity.
Projectiles follow parabolic pathsThis path is called the trajectory.
Projectile motion is free fallWith an initial horizontal velocity.
If a ball is dropped, and another Ball is launched horizontally,
Neglecting air resistance, They will hit the ground at the
Same time!!
By deriving new formulas, We get the following…
Vertical motion of a projectile
Δy = - ½g(Δt)2
Vyf = -gΔt
Vyf2 = -2gΔy
Horizontal motion of a projectileHorizontal motion of a projectile
Δx = vxΔt
vx = vxi = constant
R = v02 sinθg
But what if an object is launchedAt an angle…
Δx = vi (cos θ)Δt
vx = vi (cos θ) = constant
Δy = vi (sin θ)Δt – ½g(Δt)2
vxf = vi(sin θ) - gΔt
vyf2 = vi
2(sin θ)2 – 2gΔy
Certain angles will travel Distances that are equal to
Other angles.
75° = 15°60° = 30°
45° travels the farthest
A ball is launched with an initialVelocity of 4.5 m/s at an angle
Of 66° above the horizontal. WhatWas the maximum height of
The ball? How long did it take For the ball to hit the ground?
y = 0.86m t = 0.84s
Uniform Circular Motion isMotion at constant speed around
A circle with a fixed radius.
Centripetal Acceleration is theCenter directed acceleration of
An object in uniform circular motion
The centripetal force is the Necessary net force exerted in
The centripetal direction to Cause circular motion.
ac = 4π2rT2
Fc = m4π2rT2
v
v
va
r
r
T = the period,The time neededTo one complete
revolution
A 13g rubber stopper is attachedTo a 0.93 m string. The stopper is
Swung in a horizontal circle, Making one revolution in 1.18s. Find the tension force exertedBy the string on the stopper.
0.34 N
A frame of reference is a Coordinate system for specifying
The precise location of objects In space.
Velocity measurements differ In different frames of reference.
For example, if you bounce a ballIn an elevator, the ball will fall at
g relative to the ground, butIts acceleration will be faster
To the elevator when going up.
A Boat traveling east at a speedOf 4 m/s. Peter rolls a marble
With a velocity of 0.75 m/s north,Straight across the deck. WhatIs the velocity of the marble
Relative to the water?
4.1 m/s at 11° north of east