Question
Problem 4- Speedy car, driving at 30 m/s. The driver suddenly observes a slow-moving van 155 m ahead traveling at 5 m/s in the same direction. The driver of the car immediately applies the brakes causing a constant acceleration of 2 m/s2 in a direction opposite to the cars velocity.
a) After the driver of the car applies the brakes, at what time the car will collide with the van?
b) Take x= 0 at the location of the car when the brakes applied, where does the collide with the van?
a) After the driver of the car applies the brakes, at what time the car will collide with the van?
b) Take x= 0 at the location of the car when the brakes applied, where does the collide with the van?
Answers
bobpursley
if the collide, they have traveled the same distance in the same time.
distance van=155+5t
distancecar=30t-1/2 *2*t^2
set them equal, solve for time t.
then using t, solve for car distance.
distance van=155+5t
distancecar=30t-1/2 *2*t^2
set them equal, solve for time t.
then using t, solve for car distance.
Anonymous
t = 10.5 s