A car starts from rest and travels for 10.0 s with a uniform acceleration of +2.0 m/s?. The driver then applies the brakes, causing a uniform acceleration of -1.5 m/s. If the brakes are applied for 1.0 s, determine each of the following. (a) How fast is the car going at the end of the braking period? m/s (b) How far has the car gone?

A car is traveling at a speed of 30 m/s, a typical highway speed, on wet pavement. The driver sees an obstacle ahead and decides to stop. From this instant, it takes him 0.75 s to begin applying the brakes. Once the brakes are applied, the car experiences an acceleration of -6.0 m/s2. How far does the car travel from the instant the driver notices the obstacle until it stops?

An unmarked police car traveling a constant 95.0 km/h is passed by a speeder traveling 120 km/h. Precisely 3.00 s after the speeder passes, the police officer steps on the accelerator; if the police car's acceleration is 1.50 m/s2, how much time passes before the police car overtakes the speeder after the speeder passes (assumed moving at constant speed)

A car starts from rest and travels for 5s with a uniform acceleration of +1.5 m/s2. The driver then applies the brakes, causing a uniform acceleration of –2 m/s2. If the brakes are applied for 3 s, (a) how fast is the car going at the end of the braking period, and (b) how far has the car gone?

A wind-up toy car is released from rest. It accelerates up to a maximum speed over the first 2 m it travels before slowing back down to a stop over the next 5 m. If the car travels in the positive direction, what is the direction of its acceleration (a) over the first 2 m and (b) over the last 5 m? (c) Over which distance is the magnitude of the acceleration greater?

A certain elevator cab in a New York hotel has a total run of 160 m. Its maximum speed is 280 m/min. Its acceleration (both speeding up and slowing down) has a magnitude of 1.32 m/s2. (a) How far does the cab move while accelerating to full speed from rest?(b) How long does it take to make the nonstop 160 m run, starting and ending at rest?

A car starts from rest and travels for 7.0 s with a uniform acceleration of +2.1 m/s2. The driver then applies the brakes, causing a uniform acceleration of −1.5 m/s2. If the brakes are applied for 2.0 s, determine each of the following. (a) How fast is the car going at the end of the braking period? ________m/s (b) How far has the car gone? ________m   A hockey player is standing on his skates on a frozen pond when an opposing player, moving with a uniform speed of 2.0 m/s, skates by with the puck. After 1.60 s, the first player makes up his mind to chase his opponent. If he accelerates uniformly at 0.46 m/s2, determine each of the following. (a) How long does it take him to catch his opponent? (Assume the player with the puck remains in motion at constant speed.) _______s (b) How far has he traveled in that time? _______m

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 car starts from rest and travels for 5.5 s with a uniform acceleration of +2.7 m/s2. The driver then applies the brakes, causing a uniform acceleration of -3.0 m/s2. If the brakes are applied for 2.0 s, determine each of the following. (a) How fast is the car going at the end of the braking period? m/s (b) How far has the car gone? m

In a test run, a certain car accelerates uniformly from zero to 20.6 m/s in 2.65 s. (a) What is the magnitude of the car's acceleration? (b) How long does it take the car to change its speed from 10.3 m/s to 20.6 m/s? (c) Will doubling the time always double the change in speed? why?