A driver of a car slams on the brakes when he sees a tree blocking the road. The car slows uniformly with an acceleration of 5.60 m/s2 for 4 seconds, making straight skid marks 62.4 m long, all the way to the tree. With what speed does the car then strike the tree?

A Lockheed Martin F-35 Lightning II jet takes off from an aircraft carrier with a runway length of 107 m and a takeoff speed 77 m/s at the end of the runway. Jets are catapulted into airspace from the deck of an aircraft carrier with two sources of propulsion: the jet propulsion and the catapult. At the point of leaving the deck of the aircraft carrier, the F-35's acceleration decreases to a constant acceleration of 4.8 m/s2 at 23° with respect to the horizontal. (Assume that the F-35's initial direction along the deck of the aircraft carrier is the +x-direction and that the +y-direction is up.)   What is its velocity and speed at this time? (Enter your answers in m/s.) v(5.4 s)= (?î +?ĵ)   v(5.4 s)=   ? m/s How far (in m) has it traveled horizontally?

An express train passes through a station. It enters with an initial velocity of 22.0 m/s and decelerates at a rate of 0.150 m/s² as it goes through. The station in 210.0 m long. How fast is it going when the nose leaves the station?

A speed skater increases his speed from 10m/s to 12.5m/s over a period of 3s while coming out of a curve of 20m radius. What is the magnitude of the resultant acceleration as he leaves the curve?

A car is traveling along a straight road at a velocity of +39.5 m/s when its engine cuts out. For the next 2.81 seconds, the car slows down, and its average acceleration is a,. For the next 5.65 seconds, the car slows down further, and its average acceleration is ₂. The velocity of the car at the end of the 8.46-second period is +28.6 m/s. The ratio of the average acceleration values is ā,/₂ = 1.78. Find the velocity of the car at the end of the initial 2.81-second interval. 2

An object is subject to a constant acceleration of 4.16 m/s2 in the positive x direction. If it is initially at rest, what is its displacement in the x-direction at t = 8.99 s?

A rocket is fired straight up from rest with a net upward acceleration of 12 m/s2. After 10.0 s, the engine shuts off, but the rocket continues to coast upward with insignificant air resistance. What is the maximum the rocket reach from the ground?

An astronaut is on a new planet. She discovers that if she drops a space rock from 19.22 m above the ground, it has a final velocity 7.09 m/s of just before it strikes the planet's surface. What is the acceleration due to gravity on the planet?

the cat is being chased by a dog; they are running at 6m/s when they encounter a wall. The cat bounces off the wall and runs at 4m/s in the opposite direction, The cat is in contact with wall for only 0.05 seconds. What is the magnitude of the average acceleration of Steve while in contact with the wall?

A police car gets passed by a car traveling at a constant speed of 150.0 km/hr.  The police car accelerates from rest at 5.00 m/s2, the moment the two cars are side by side.  How long does it take the police officer to catch the car?