Posted by **Ralph** on Thursday, February 17, 2011 at 7:43pm.

a police car is cruising on the right lane at 25 m/s (meters/sec.). A motorcycle, on the left lane, passes the police car at a constant 35 m/s. The police officer reacts fast and accelerates at a constant 5 m/s^2.

(a)When does he catch up?

(b)What was his velocity at that instant?

- physics -
**drwls **, Thursday, February 17, 2011 at 7:48pm
At the time t after the police car is passed, the distances travelled are:

X1 (motorcycle) = 35 t (meters)

X2 (police) = 25t + (1/2)(5)t^2

(a) Set X1 = X2 and solve for t. Ignore the t=0 solution. Take the other one.

(b) V2 = 25 + 5t is the celocity of the police car. Use the appropriate value of t.

- physics -
**Ralph**, Thursday, February 17, 2011 at 7:54pm
thank you!

- physics -
**eraft**, Monday, August 29, 2011 at 6:38pm
erft

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