A hockey puck is hit from near mid-field with a speed of 7.00^m/s, 52.0ft away f

Question

A hockey puck is hit from near mid-field with a speed of 7.00^m/s, 52.0ft away from the goal. It comes to a full stop at the goal line. Use 1ft = 30.5cm. Assuming the friction force acting on the puck is constant, find the puck's acceleration. A. -1.47 m/s^2. B. -1.54 m/s^2 C. -1.93 m/s^2 D. -1.80 m/s^2 E. -2.00 m/s^2 How much time does it take for the puck to come to a stop? A. 4.53 s B. 4.43 s C. 4.39 s D. 4.06 s E. 4.95 s How fast must the puck be hit to cross the goal line moving at 2.00 A. 8.77 m/s. B. 8.17 m/s. C. 8.36 m/s D. 7.54 m/s E. 7.28 m/s

Explanation / Answer

Given that

speed u=7 m/s

distance s=52*30.5 cm=1586 cm=15.86 m

now we find the acceleration

v^2-u^2=2as

0^2-7^2=2*a*15.86

acceleration a=-7^2/2*15.86=-1.54 m/s^2

the correct option is B

now we find the time to come to stop

0=7-1.54*s

time t =7/1.54=4.55

the correct option is A

now we find the fast the puck moves

2^2-u^2=2*-1.54*15.86

4-u^2=-48.85

u^2=52.85

velocity u=7.28 m/s

the correct option is E

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