A ball is thrown vertically upwards with a speed of 10m/s from the top of a tower 400m high. Find the time taken by ball to reach the ground.
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Answer: 10s
Explanation: First find the distance and time taken to reach where the velocity of the ball becomes zero at max.ht.
(A) u=10m/s
v=0, g=10 so using v=u+at
t= 10/10= 1s this is the time taken to reach max. Ht. which is H=½gt²
H=½×10×1²= 5m
(B) Now second part is when ball falls from this max ht = 5+400=405m
u=0, using H=½gt²
405=½×10×t²
t²=81
Thus, t=9s
Now total time taken=upward+downward journey
T=1+9=10
Ans. 10s.
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