Barack is playing basketball in his back yard. He takes a shot 7.0 m from the basket (measured along the ground), shooting at an angle of 45 degrees. The ball is 2.0 m off the ground when it leaves his hand, and hits the backboard 3.5 m off the ground. Neglecting air friction, about how long is the ball in flight?

The time of flight of the ball is 1.06 seconds.

Explanation:

Given

Also,

Let us say the velocity in the x-direction is and in the y-direction is . And acceleration in the x-direction is and in the y-direction is .

Also, is distance covered in x and y direction respectively. And is the time taken by the ball to hit the backboard.

We can write . Where is velocity of ball.

Now,

Also,

.

Plugging this value in

So, the time of flight of the ball is 1.06 seconds.