Asked by ashish
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?
Answers
Answered by
Jennifer
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
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
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