Approximately how fast must you toss a ball straight up in order for it to take 2 seconds to return to the level from which you tossed it?

Numerical question: Approximately how fast must you toss a ball straight up in order for it to take 2 seconds to return to the level from which you tossed it?

Solution:

Here we have to find out the initial velocity u.

Total time of upward and downward motion = 2 s
That means the time required to reach the maximum height = 1 s.
Say, initial velocity = u

Using the formula: T_upward = u/g
T_upward = 1
=> u/g = 1
=> u = g
=> u= 9.8
Initial velocity with which the ball is to be tossed initially = 9.8 m/s [Answer]