Homework Help: Physics

Posted by :) on Friday, June 29, 2012 at 6:19am.

A motorist traveling with a constant speed of 15m/s passes a school-crossing corner, where the speed limit is 10m/s. Just as the motorist passes, a police officer on a motorcycle at the corner starts off in pursuit with constant acceleration of 3m/s^2. (a)How much time elapses before the police catches up the motorist? (b)What is the officer's speed limit at that point? (c)What is the total distance each vehicle has traveled at that point?

Physics - ajayb, Friday, June 29, 2012 at 8:42am
a) s1= vt - for motorist
s2= (1/2)*a*t^2 - for police officer

when the cop cathes up the motorist:
s1 = s2

So vt = (1/2)*a*t^2
15*t= (1/2)*3*t^2
t = 15*2/3 = 10 sec
b) v = u + a*t
= 0 + 3*10 = 30 m/s
c) distance s1=s2= 15*10 = 150m

Answer this Question

Related Questions

Physics - A motorist traveling with a constant speed of 15m/s passes a school-...
physics - A motorist travels at a constant speed of 34.0 m/s through a school ...
Physics - A motorist travels at a constant speed of 34.0 m/s through a school ...
physics - A motorist drives along a straight road at a constant speed of 15.0 m/...
physics - A motorist drives along a straight road at a constant speed of 15.0 m/...
Physics - A motorist drives along a straight road at a constant speed of 16.5 m/...
physics - A train 400 m long is moving on a straight track with a speed of 80.1 ...
physics - A train 400 m long is moving on a straight track with a speed of 80.1 ...
physics - A motorist drives along a straight road at a constant speed of 15.0 m/...
Physics - A motorist drives along a straight road at a constant speed of 60 m/s...

For Further Reading

First Name:
School Subject:
Answer: