Question

In getting ready to slam-dunk the ball, a basketball player starts from rest and sprints to a speed of 6.0 m/s in 1.5 s. Assuming that the player accelerates uniformly, determine the distance he runs.

Answer 1

The distance run by the sprinter is 4.5 m.

Since the sprinter accelerates uniformly therefore we can apply the equation of motion

First we need to calculate the acceleration of the sprinter, using first equation of motion

v=u+at

here, v is the final velocity, u is the inital velocity

6=0+a*1.5

a=4 m/s^2

Now the distance run by the sprinter is calculated by the 3rd equation of motion

$v^{2}$=$u^{2}$+2aS

Plugging the values

6^2=0+2*4*S

S=4.5 m

Answer 2

Answer:4.5m

Explanation: use this formual and memorise it

distance = velocity×time-1/2×acceleration×time^2