Problem 2 - Projectile Motion A tennis player hits a ball at ground level, givin

Question

Problem 2 - Projectile Motion A tennis player hits a ball at ground level, giving it an initial velocity of 60.0 m/s at an angle 20.0 degrees above the horizontal. a) What are the initial x- and y- components of the velocity of the ball? b) What is the highest point that the ball will reach? c) How long does it take the ball to reach the highest point? d) What is the acceleration of the ball at the highest point? e) Compute the velocity and the acceleration of the ball (magnitude and direction) at a time t=0.25 s. f) How far from the initial point will the ball hit the ground? After how mauy secouds?

Explanation / Answer

part a:

x COMPONENT OF Velocity Vx = V cos theta

Vx = 60 cos 20

vx = 56.38 m/s

Y comp of velocity = Vy = V sin theta

Vy = 60 sin 20  

Vy = 20.52 m/s

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part B:

Hmax = V^2 sin^2 theta/2g

Hmax = 60*60* sin20*sin20/(2*9.81)

Hmax = 21.46 m

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part C:

to reach max height,

t = u sin theta/g

t = 60 sin 20/9.81

t = 2.1 secs

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part D:

at highest point a = -9.8 m/s^2

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