Car Q continue at 26m/s west at the next overpass zip past a cop. The cop begins accelerate 3m/s^2. Eventually cop catches up to car Q who maintained the previous speed(25m/s). Cop side by side motion Q to pull over.

A) Determine the time elapsed since cop started up
B) Distance car Q traveled before getting caught
C) Speed police officer was going when car Q was finally nabbed

Can you please show all work.This is the only problem i cant figure out. Thank you.

just use your basic equations of motion

s = vt + 1/2 at^2
If the cop starts moving just as the car zips by, then we have the distance traveled after t seconds as

car: 25t
cop: 1/2 * 3 t^2

time elapsed till the cop catches up:

25t = 3/2 t^2

Now you can answer the questions, if you also recall that

v = at