A cyclist riding with speed 5 meter per second braked with uniform decceleration and stopped in 3m .hew long did she take to stop?
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Explanation:
Uniform Acceleration Equations
V = Vo + At
D = 1/2(At²)
Eliminating t yields, D = (V-Vo)²/2A
So in this case using equation 3. we get: D = 3m Vo=5m/d, V = 0
3 = 25/2A so A = 25/6 now to check. Using equation 1. solve for t. Note that since this is a deceleration the sign of A is negative. t = 30/25 = 1.2 Now using the value of t and the value of A solve for D using equation 2.
1/2(25/6)(1.2²)= 3 Q.E.D The deceleration is 25/6 m/s²
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