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A man standing on the top of the tower 60m height throws a ball in the verticaly upward direction with a a velocity of 20m/s.how long will it take for the ball to pass by the man while moving in the downward direction?
1. 2 sec
2. 4 sec
3. 6 sec
4. 8 sec?
given answer is 4 sec?
Most Upvoted Answer
A man standing on the top of the tower 60m height throws a ball in the...
Solution

Initial Velocity

The initial velocity of the ball is given as 20m/s, in the upward direction.


Final Velocity

At the maximum height, the velocity of the ball becomes zero.


Acceleration

The acceleration acting on the ball is due to gravity and is equal to -9.8m/s².


Time Taken

Using the formula of motion, v = u + at, where


  • v = final velocity = 0

  • u = initial velocity = 20m/s

  • a = acceleration = -9.8m/s²

  • t = time taken


We get,

t = (v - u) / a

t = (0 - 20) / (-9.8)

t = 2 seconds


Total Time

The total time taken by the ball to pass by the man while moving in the downward direction is twice the time taken to reach the maximum height.

Total time taken = 2 x 2 seconds

Total time taken = 4 seconds


Answer

Therefore, the correct answer is option 2, 4 seconds.
Community Answer
A man standing on the top of the tower 60m height throws a ball in the...
Given, that balls is thrown vertically upward,
so,
u = 20 m/s
a = g = 10 m/s^2
velocity at the top of the tower, v = 0
using v = u + at, we get,
# 0 = 20 - (10 × t), due to gravity in opposite direction, a = -g
# -20 = -10t
# t = 20 /10
# t = 2 seconds
We know that, time of acent = time of decent, therefore, time of acent = time of decent = 2 seconds.
Therefore, the ball will pass at t = 4 seconds.
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A man standing on the top of the tower 60m height throws a ball in the verticaly upward direction with a a velocity of 20m/s.how long will it take for the ball to pass by the man while moving in the downward direction?1. 2 sec 2. 4 sec 3. 6 sec4. 8 sec?given answer is 4 sec?
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