Practice Problem 3.4 Now let\'s consider a projectile problem in which the initi

Question

Practice Problem 3.4 Now let's consider a projectile problem in which the initial velocity is specified in terms of a magnitude and an angle. Suppose a home run baseball is hit with an initial speed vo 37.0 m/s at an initial angle 0b 53.10. (a) Find the ball's position, and the magnitude and direction of its velocity, when t 2.00 s (b) Find the time the ball reaches the highest point of its flight, and find its height h at that point (c) Find the horizontal range R (the horizontal distance from the starting point to the point where the ball hits the ground). Figure 1 i of 1 y (m) va 37 m/s x (m) That point REFL fact, t lower Part Part B Com Exp

Explanation / Answer

Vo = 37 m/sec ,

g = 9.8 m/sec2 ,

Vyx = 37 cos ( 53.1 ) = 22.2 m/sec

Voy = 37 sin ( 53.1 ) = 29.6 m/sec

Part A :

t = 7.6 sec

x = Vyx X t = 22.2 X 7.6

x = 168.7 m

Part B :

t = 7.6 - 6.04 = 1.56 sec

y = Voy X t + 0.5 a t2

y = 34.2 m

Part C :

Vx = Vox = 22.2 m/sec

Part D :

Vy = Voy + a t

Vy = 14.3 m/sec

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