car moving with a constant acceleration travels 10 m after 6th second and 6 m for the 8th second of its motion. What is the initial velocity of the car?

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?

Calculate the minimum amount of work needed to move a 400 kg rocket from Earth's surface to the International Space Station in orbit 300,000 m above Earths surface. Solve for the minimum amount of work needed to move the payload to the ISS. Start with general equations and explain what you are doing and why you did what you did. Evaluate your solution. Describe how you evaluated your answer and whether or not you think your answer is reasonable.

A car has an initial velocity of 17.8 m/s (SOUTH). The car has an unknown acceleration for a time of 7.11 seconds, at which point the car has a final velocity of 4.20 m/s (NORTH). During this time what is the car's displacement?

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?

A particle moves along a circular path having a radius of 1.1 m. At an instant when the speed of the particle is equal to 3.22 m/s and changing at the rate of 6.46 m/s², what is the magnitude of the total acceleration of the particle?

A teenager climbs a tree that is 40ft tall. Once at the top of the tree he drops a ball that takes 2 seconds to hit the ground. Determine its initial and final speeds.

This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. A sprinter in a 100-m race accelerates uniformly for the first 55 m and then runs with constant velocity. The sprinter’s time for the first 55 m is 7.9 s.   Determine his final velocity.

A train, traveling at a constant speed of 25 m/s, comes to an incline with a constant slope. While going up the incline, the train slows down with a constant acceleration of magnitude 1.8 m/s2. What is the speed of the train after 8.0 s on the incline?