A certain cable car is San Francisco can stop in 10 s when traveling at maximum speed. On one occasion, the driver sees a dog a distance d m in front of the car and slams on the brakes instantly. The car reaches the dog 8.15 s later, and the dog jumps off the track just in time. If the car travels 3.77 m beyond the position of the dog before coming to a stop, how far was the car from the dog? [Hint: You will need three equations.]  m

Suppose a car is traveling at +24.3 m/s, and the driver sees a traffic light turn red. After 0.219 s has elapsed (the reaction time), the driver applies the brakes, and the car decelerates at 4.00 m/s2. What is the stopping distance of the car, as measured from the point where the driver first notices the red light?

The brakes are applied to a moving van, causing it to uniformly slow down. While slowing, it moves a distance of 40.0 m in 7.30 s to a final velocity of 1.75 m/s, at which point the brakes are released. (a) What was its initial speed (in m/s), just before the brakes were applied? (b) What was its acceleration (in m/s2) while the brakes were applied? (Assume the initial direction of motion is the positive direction. Indicate the direction with the sign of your answer.)

If a driver is initially going 35.5m/s to the left and then slams on the brakes to accelerate at a magnitude of 3.8m/s/s until she comes to a complete stop.  If she started applying her brakes at a position of 102m from zero, then where is her final position from zero?

The brakes are applied to a moving van, causing it to uniformly slow down. While slowing, it moves a distance of 40.0 m in 7.30 s to a final velocity of 1.20 m/s, at which point the brakes are released. (a) What was its initial speed (in m/s), just before the brakes were applied?  m/s (b) What was its acceleration (in m/s2) while the brakes were applied? (Assume the initial direction of motion is the positive direction. Indicate the direction with the sign of your answer.)

Suppose a cyclist is going 20m/s (44mph) at the end of a race, and begins coasting after crossing the finish line. The coasting cyclist has a velocity-dependent acceleration (in the x-direction) given by ag = -(0.01lm-1)v², which is negative because they are slowing. Ignoring time, find how far the cyclist will have traveled beyond the finish line when they are rolling at a speed of 10m/s.

A car traveling 56.0 km/h is 24.0 m from a barrier when the driver slams on the brakes. The car hits the barrier 2.00 s later. (a) What is the magnitude of the car’s constant acceleration before impact? (b) How fast is the car traveling at impact?

A plane accelerates from rest at a constant rate of 5.00 m/s2 along a runway that is 1800 m long. Assume that the plane reaches the required takeoff velocity at the end of the runway. What is the distance dlast traveled by the plane in the last second before taking off?

The speed of a nerve impulse in the human body is about 100 m/s. If you accidentally stub you toe in the dark, estimate the time it takes the nerve impulse to travel to your brain. (Assume that you are approximately 2.00 m tall and that the nerve impulse travels at uniform speed.)

An airplane starts its takeoff by moving at 2.6 m/s. The plane must then accelerate at 3.0 m/s2 for the next  [t] 30 s to reach its final takeoff speed. To the nearest tenth of a kilometer, how far does the plane travel while accelerating to its takeoff speed?