# Math Help - car problem

1. ## car problem

2) A car is traveling at 100 km/hr when the brakes are applied. If the brakes can give
the car a constant negative acceleration of 8 m/s2,
a) how long will it take the car to come to a stop, and
b) how far will the car travel before stopping?

2. Originally Posted by cheesypepsi
2) A car is traveling at 100 km/hr when the brakes are applied. If the brakes can give
the car a constant negative acceleration of 8 m/s2,
a) how long will it take the car to come to a stop, and
b) how far will the car travel before stopping?
convert $v_0 = 100$ km/hr to m/s

$v(t) = v_0 - 8t$

set $v(t) = 0$ and solve for $t$

using that value of t as the upper limit of integration ...

$d = \int_0^{t} v(t) \, dt$