A ball is kicked with an initial velocity of 16 m/s in the horizontal direction and 12 m/s in the vertical direction. (a) At what speed does the ball hit the ground? (b) For how long does the ball remain in the air? (c)What maximum height is attained by the ball?

Problem 26PE

Solution 26 PE

Step 1 of 4:

In this question, we need to find the speed of the ball as it hits the ground

In the second part, we need to find time ball remains in air

In the third part , we need to find the maximum height reached by the ball

Data given

Initial velocity along x axis

Initial velocity along y axis

Step 2 of 4 :

We need to find the velocity of balls as it hits the ground

It is given by resultant velocity of velocity along x axis and velocity along y axis

We get

Substituting values we get

Hence the velocity of the ball as it reaches the ground is obtained as