question archive A ball starts rolling up a ramp at 10 m / s

A ball starts rolling up a ramp at 10 m / s

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A ball starts rolling up a ramp at 10 m / s . Later, it rolls down the ramp at 15 m / s and is 15 m down from the origin.

1) what is the acceleration of the ball?

2) how much time has elapsed during the ball's movement?

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a)acceleration

=4.167m/s2

 

b)time

=1.2s

Step-by-step explanation

a)

Acceleration,a;

A=[v2-u2]/2s

Where

V=final velocity

U=initial velocity

S=distance travelled

Therefore

A=[152-102]/[2*15]

=225-100 /30

=4.167m/s2

b)

t=[v-u]/a

v=final velocity

u=initial velocity

a=acceleration

therefore

t=[15-10]/4.167

=1.2s