An aircraft starts at rest and is accelerated at 10 m/s2 for 30 seconds, at which time the aircraft becomes airborne. What is the distance traveled during the 30 seconds? Assume the acceleration is constant.

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?

In heavy rush-hour traffic, you drive in a straight line at 12 m/s for 1.5 minutes, then you have to stop for 3.5 minutes, and finally, you drive at 15 m/s for another 2.5 minutes. Plot a position-versus-time graph for this motion. Your plot should extend from t = 0 minutes to t = 7.5 minutes. Assume x=0 and t=0 at the start of your motion.

An express train passes through a station that is 220 m long. It enters with an initial speed of 22.5 m/s and decelerates at a rate of 0.14 m/s2 as it goes through. During what time interval, in seconds, is the front of the train within the station?  How fast is the train moving, in meters per second, when its front leaves the station?  If the train is 130 m long, how long, in seconds, after the front of the train enters the station does the end of the train leave the station?  What is the velocity of the end of the train as it leaves in m/s?

A car is traveling at a steady 77 km/h in a 50 km/h zone. A police motorcycle takes off at the instant the car passes it, accelerating at a steady 7.2 m/s2 . How much time elapses before the motorcycle is moving as fast as the car? How far is the motorcycle from the car when it reaches this speed?

A ball is thrown upward at time t=0 from the ground with an initial velocity of 8 m/s (~ 18 mph). Assume that g = 10 m/s2. What is the greatest height (in meters) reached by the ball?

A pickup truck is traveling at 30.0 m/s. The driver of the truck applies the brakes and gives the truck a uniform deceleration of 6.50 m/s2² while it travels 20.0 m. What is the speed of the truck in m/s at the end of this distance?

A plane accelerates from rest at a constant rate of 5.20 m/s2 along a runway that is 1900 m long. Assume that the plane reaches the required takeoff velocity at the end of the runway. What is the time t needed to take off?

A ball is thrown upward at time t=0 from the ground with an initial velocity of 10 m/s (~ 22 mph). What is the total time it is in the air? Assume that g = 10 m/s2.

A cheetah at rest notices a gazelle standing at a distance of 150.0 m. At the same time the gazelle notices the cheetah. The gazelle accelerates at 2.0 m/s2 for 8.0 s, after which it has reached top speed. The cheetah accelerates at 2.5 m/s2 until it has reached its top speed of 115.2 km/h. It can only continue at this speed for 35 s. Will the cheetah catch the gazelle? If so, when and where?