A ball is projected vertically upward with a speed of 50m/s.
Find (a) the maximum height
(b) the time to reach the maximum height
(c) the speed at half the maximum height
( take g = 10m/s square)
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Answer:
Given ,
u = 50 m/s
a = g = 10 m/s²
maximum height is given as
Hmax = u² / 2g
= 50² / 20
= 2500 / 20
= 125 m
time taken to reach maximum height is given as ,
t = u/g
= 50 / 10
= 5 sec
Speed at Hmax/2 can be found in the following way ,
u = 50 m/s
S = 125/2
a = 10 m/s²
v² = u² + 2aS
= 2500 + 1250
= 3750
v = √3750
= 25√6m/s
Hope it helps :)
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