Question

How long will it take a basketball starting from rest to roll without slipping 2.6 m down an incline that makes an angle of 30.8 ◦ with the horizontal? The acceleration of gravity is 9.81 m/s 2 .

Answer 1

t = 1.02 s

Step-by-step explanation:

friction = 0 N (no slipping)

downward force along the inclined plane = F = mgsin(30.8)

F = ma

⇒ a = 9.81 sin(30.8)

a = 5.02 m/s^2

now we have

displacement = s = 2.6 m

acceleration = a = 5.02m/s^2

initial velocity = Vi = 0m/s

time = t = ?

APPLYING THE 2ND EQUATION OF MOTION:

S = (Vi)(t)+0.5at^2

2.6 = 0(t) + 0.5 * 5.02 * t^2

t = 1.02 s