22. A ball is thrown horizontally from the roof of a building 12 m tall with a speed of 3.1 m/s. a. How much later does the ball hit the ground?
b. How far from the building will it land?
C. What is the magnitude of the velocity of the ball just before it hits the ground?
d. With is the angle (relative to the ground) of the velocity of the ball just before it hits the
ground?

a) t = 1.6 s

b) d = 4.9 m

c) v = 16 m/s

d) θ = 79°

Explanation:

time of fall

t = √(2h/g) = √(2(12)/9.8) = 1.5649... s

d = vt = 3.1(1.56) = 4.8512...

vertical velocity vy = at = 9.8(1.56) = 15.336... m/s

v = √(15.336² + 3.1²) = 15.6464... m/s

θ = arctan(15.336/3.1) = 78.5724...°

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