Posted by **ashish** on Wednesday, January 30, 2013 at 12:52pm.

A student driving at a constant speed of 45 m/sec passes a highway patrol car parked on the side of the road. One second later, the patrol car accelerates at a constant rate of 3.00 m/sec^2 in an attempt to catch up with the speeding student. How long does it take to over take the student?

- physics -
**Jennifer**, Thursday, January 31, 2013 at 7:36pm
After one second, when the patrol car is at location x = 0, the student is at 45 m.

The student's location as a function of time, where t=0 when the police car starts accelerating is

45 + 45*t

The policeman's position is

1/2*3*t^2

Set these two equations equal to each other and solve for t

## Answer this Question

## Related Questions

- physics - a drunken motorist who is moving at a constant velocity of 90 km/h ...
- physics - A speeder traveling at a constant speed of 125km/h races past a ...
- Physics - A speeder traveling at a constant speed of 102 km/h races past a ...
- Physics 12 - A sports car is travelling along a highway at a constant velocity ...
- Math - A motorist traveling 55 mph is being pursued by a highway patrol car ...
- Physics - A speeding motorcyclist is traveling at a constant speed of 31.1 m/s ...
- physics - A car is traveling at a constant speed of 27.1 m/s on a highway. At ...
- PHYSICS - a car traveling at a constant velocity of 30 m/sec passes an ...
- PHYSICS - A car traveling at a constant velocity of 30.0 m/sec passes an ...
- Physics - A car parked on a hill. The driver starts the car, accelerates until ...

More Related Questions