The distance the ball rolls up to before it stops is 110.25m.
Newton’s third equation of motion can be used to determine the distance the ball rolls up to before it comes to a halt.
Given data:
Initial velocity of the ball, u = 21m/s
Final velocity of the ball, v = 0
Acceleration of the ball, a = -2m/s^2
To find:
Distance the ball rolls, S = ?
Formula:
v^2 = u^2 + 2aS
Calculation:
0 = 21^2 + 2 (-2) S
S = 441 / 4
S = 110.25m
Result:
The distance the ball rolls up to is 110.25m before it stops.
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