A car starts from rest with an acceleration of 5.3 m/s2 which decreases linearly with time to zero in 10.3 seconds, after which the car continues at a constant speed. Determine the time t required for the car to travel 330 m from the start. Answer: ti ! S

To take off from the ground, an airplane must reach a sufficiently high speed. The velocity required for the takeoff, the takeoff velocity, depends on several factors, including the weight of the aircraft and the wind velocity. A plane accelerates from rest at a constant rate of 5.00 m/s2m/s2 along a runway that is 1800 mm long. Assume that the plane reaches the required takeoff velocity at the end of the runway. What is the time tTOtTO needed to take off? What is the distance d_last traveled by the plane in the last second before taking off?

A test rocket is fired straight up from rest. The net acceleration is 20 m/s2 upward and continues for 4.0 seconds, at which time the rocket engines cease firing. What maximum elevation does the rocket reach?

The engineer of an intercity train observes a rock slide blocking the train's path 550 m ahead and activates the train's emergency brakes. The train decelerates uniformly (Hint: negative acceleration) at 1.7 m/s and completely stopes just before hitting the rock. What is the initial speed of the train measured in m/s?

A Thomson's gazelle can run at very high speeds, but its acceleration is relatively modest. A reasonable model for the sprint of a gazelle assumes an acceleration of 4.2 m/s2m/s2 for 6.5 ss , after which the gazelle continues at a steady speed. What is the gazelle's top speed? Express your answer with the appropriate units.   A human would win a very short race with a gazelle. The best time for a 30 mm sprint for a human runner is 3.6 ss. How much time would the gazelle take for a 30 mm race? Express your answer with the appropriate units.   A gazelle would win a longer race. The best time for a 200 mm sprint for a human runner is 19.3 ss. How much time would the gazelle take for a 200 mm race? Express your answer with the appropriate units.

An object is moving with a constant acceleration in a straight line from Point A to Point B. The distance between the two points is 58 m, the time taken is At = 5.98 s, and the final speed of the object at Point B is 11.96 m/s. What is the initial speed of the object at Point A?

A gazelle is running in a straight line (the x-axis). The graph in Fig. shows this animal’s velocity as a function of time. During the first 12.0 s, find (a) the total distance moved and (b) the displacement of the gazelle. (c) Sketch an ax-t graph showing this gazelle’s acceleration as a function of time for the first 12.0

A driver is driving uphill. He maintained his throttle, causing his car to constantly decelerate as it is coming up the hill. The road going up the hill is 217 m long and it took him 8.8 seconds to get to the top of the hill. His speed has reduced to 22 m/s at that point. What was the car's acceleration (include a negative sign in your answer)? Hint: the initial position of the car can be set at the origin.

(a) Calculate the height (in m) of a cliff if it takes 2.30 s for a rock to hit the ground when it is thrown straight up from the cliff with an initial velocity of 8.07 m/s. (Enter a number.) m (b) How long (in s) would it take to reach the ground if it is thrown straight down with the same speed? (Enter a number.) s †

Another scheme to catch the Roadrunner has failed. A safe falls from rest from the top of a 25.0 m high cliff toward Wile E. Coyote, who is standing at the base. Wile first notices the safe after it has fallen 15.0 m. How long does he have to get out of the way.    Some solutions are using the method of finding the difference of time between 25m and 15m. But some are finding the difference of time between 25m and 10m. Which one is correct?.