Kinematics truck moving at 30m/s suddenly notices a moose 70m

[monkfishkev]

Homework Statement

The driver of a truck moving at 30m/s suddenly notices a moose 70m straight ahead. If the driver's reaction time is 0.5s and the maximum deceleration is 8m/s^2, can he avoid hitting the moose without steering to one side?

The Attempt at a Solution

First I found out how long it would take the driver to stop.
v = u + at
0 = 30 -8t
t = 3.75

I then added the drivers reaction time of 0.5s so we land up with 4.25s

Then I tries to fid out the distance covered by using:
s = ut + 1/2at^2
s = 30(4.25) + 1/2(-8)(4.25)^2
s = 127.5 - 72.25
s = 55.25m

It would seem that the truck stops before 70m but the answer given in the book says no he doesn't stop in time and needs a further 1.3m.

Please help.

 

[Doc Al]

I then added the drivers reaction time of 0.5s so we land up with 4.25s

Instead of adding the times together, treat the two segments of motion separately. Hint: How far does he get before he steps on the brakes?