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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