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?

What amount of time does it take an object to come to a stop if is initially traveling at a rate of 13.6 m/s i and it undergoes a displacement of 30.5 m in doing so?

While entering a freeway, a truck accelerates from rest at a rate of 2.1 m/s2 for 11 s.   Part (a)  How far does the trucktravel in those 11 s, in meters?  Part (b)  What is the truck's final velocity, in meters per second?

During a hard sneeze, your eyes might shut for 0.38 s. If you are driving a car at 94 km/h during such a sneeze, how far does the car move during that time?

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.

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?

Calculate the displacement and velocity at times of (a) 0.500 s, (b) 1.00 s, (c) 1.50 s, and (d) 2.00 s for a ball thrown straight up with an initial velocity of 15.0 m/s. Take the point of release to be Y0 = 0.

Near the end of a marathon race, the first two runners are separated by a distance of 45.0 m. The front runner has a velocity of 3.50 m/s, and the second a velocity of 4.25 m/s. (a) What is the velocity of the second runner relative to the first? (Enter a number. Enter your answer in m/s faster than the front runner.) X m/s faster than the front runner (b) If the front runner is 250 m from the finish line, who will win the race, assuming they run at constant velocity? The first runner will win. The second runner will win. (c) What distance (in m) ahead will the winner be when she crosses the finish line? (Enter a number.) X m

A spaceship starts at rest, and then launches vertically into the air with an upward acceleration of 2.0 m/s2. When it reaches a height of 500 m, it runs out of fuel; after this point its acceleration is due to gravity, i.e. 9.8 m/s2 downward. (ignore air resistance)(a) How long does it take the spaceship to run out of fuel? (b) What is its velocity at the point when it runs out of fuel? (c) What is the maximum height that the spaceship reaches? (d) For how much time (total, from launch) is the rocket in the air? (e) What is the spaceship’s velocity just before it hits the ground?

A commuter backs her car out of her garage with a constant acceleration of 1.60 m/s2. (For each answer, enter a number.) (a) How long in seconds does it take her to reach a speed of 2.00 m/s?   (b) If she then brakes to a stop in 0.8 s, what is her (constant) deceleration in m/s2?