A truck is traveling at 16 m/s to the north. The driver of a car, 500 m to the north and traveling south at 25 m/s, puts on the brakes and slows at 3.5 m/s2. Where do they meet?

Question

please help!!

Let the truck position be X1 and the car position X2, measured along the same north-south line. Let x = 0 be the point where the truck is when the car starts braking.

X1 = 16 t
X2 = 500 - 25 t - 1.75 t^2

They meet when X1 = X2. Solve for t at that time.

Answer 1

417.5