Arat jumps in your lap and you scream like a baby and toss it straight upwards in the air. 3 seconds later, it lands back in your lap again. a) at what speed did you throw the rat? b) what is the maximum height reached by the rat?

Total time of flight of rat to go up in the air and again come back on the lap is given as

Part a)

This time of flight depends on the initial speed and acceleration due to gravity

So by kinematics we can say

Now in order to find the maximum height we can use

here final speed is zero and acceleration is due to gravity

by rearranging above equation we have

so it will move up to height 11.025 m

be subject to a force andchange its motion