# A basketball player rides a motorcycle off a ramp. When he is in midair, his teammate throws a ball straight up to him and he catches it to slam dunk. How far away from the bottom of the ramp should the teammate stand?

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To perform an amazing trick shot, a basketball player rides a motorcycle off a ramp #5.50m# above the ground at a velocity of #18m/s[48^@# above the horizontal#]# . When he is in midair, his teammate throws a ball straight up to him and he catches it to slam dunk. The teammate is able to throw the ball at a speed of #19.4m/s[# up#]# from #1.8m# above the ground and throws it #1.2s# after she leaves the ramp. How far away from the bottom of the ramp should the teammate stand?

To perform an amazing trick shot, a basketball player rides a motorcycle off a ramp

##### 1 Answer

#### Explanation:

Approximate trajectory of the rider and point of catching the ball.

The kinematic equations start time

Let

The velocity of the rider can be resolved into its

Let the ball be caught after

Height attained by the rider in this time is found using

Since height of ramp when rider leaps off is

Negative sign of

Similarly for the ball thrown by the teammate, discounting for late throwing of the ball by

or

or

Subtracting (1) from (2)

To catch the ball the rider should travel a distance