D Question 7 10 A ball is thrown straight upward from the top of a building whic

Question

D Question 7 10 A ball is thrown straight upward from the top of a building which is 55 meters tall relative to the ground. It takes 3.8 seconds to reach its maximum vertical displacement/height. What is the maximum height the ball reaches relative to the ground in meters? DQuestion 8 10.5p A projectile is fired at some speed from the ground at 29.9 degrees above the horizontal. It takes 3.4 seconds to reach its maximum vertical displacement. What speed (magnitude of initial velocity) was it fired in m/s? ! Question 9 10.5 pts 04 F4 0) FS F7

Explanation / Answer

7. at maximum height, vertical velocity is zero.

vf = 0

Applying vf = v0 - g t

0 = v0 - (9.8 x 3.8)

v0 = 37.24 m/s

Applying vf^2 - v0^2 = 2 a d

0^2 - 37.24^2 = 2 (-9.8)(h)

h = 70.7 m

H_max = h + 55 = 125.7 m

8. time taken to reach max height = T/2 = 3.4

where T is total time of flight.

T = 2 v0 sin29.9 / g

2 x 3.4 = 2 x v0 x sin29.9 / 9.8

v0 = 66.8 m/s

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