Aspring loaded toy shoots straight upward with a velocity of 4.5 m/s. determine the maximum height it reaches. determine the time it takes to return to its initial position. determine the velocity of the toy if it falls 1.0m below where it is launched from. me with this problem.

Recall that

At its maximum height , the toy will have 0 vertical velocity, so that

For the toy to reach this maximum height, it takes time such that

which means it takes twice this time, i.e. , for the toy to reach its original position.

The velocity of the toy when it falls 1.0 m below its starting point is

where we took the negative square root because we expect the toy to be moving in the downward direction.