How Long Does It Take for a Police Car to Catch a Speeder?

[Heres2hoping]

Homework Statement

A speeder moving at 120km/h passes a police car that immediately begins to chase, starting from rest, with an acceleration of 1.75 m/s². How long is the chase?
The answer is 38.1s

Homework Equations

d=v₁+at²
At least that's what I tried, but it didn't work out right..,

The Attempt at a Solution

Speeder:
(In m/s)
d=33.3(t)

Police car:
d=1.75(t)²

Then attempting to equate them together:

33.3t=1.75t²
33.3t/33.3t=1.75t²/33.3t
0=0.053t
0=t

...I did something weird and it's just stopped making sense... Please help (´Д` )

 

[Heres2hoping]

*1/2at²... That's might be my problem, but it's been an issue for almost an hour now (¬_¬)

 

[haruspex]

*1/2at²... That's might be my problem, but it's been an issue for almost an hour now (¬_¬)

That's one problem. Here's another:

33.3t/33.3t=1.75t²/33.3t
0=0.053t

you seem to have subtracted on the left instead of dividing.

 

[Heres2hoping]

That's one problem. Here's another:

you seem to have subtracted on the left instead of dividing.

(0 thank you so much! I can't believe I did that (-｡-; I got the right answer this time (^-^)