A rocket car is traveling at a constant speed of 250 km/h on a salt flat. The driver gives the car a reverse thrust, and the car experiences a continuous and constant deceleration of 8.25 m/s^2. How much time elapses until the car is 175 m from the point where the reverse thrust is applied? Describe the situation for your answer.

A hot-air balloon is rising upward with a constant speed of 2.39 m/s. When the balloon is 6.74 m above the ground, the balloonist accidentally drops a compass over the side of the balloon. How much time elapses before the compass hits the ground?

I am currently learning about kinematics in my physics class. For one of the questions, it asks me to solve a question that asks me to find the magnitude of acceleration. I have found answers ranging between 3 and 4, but everytime I put my answer into Webassign it is wrong. I was wondering how I would find the magnitude of acceleration given the time and distance.  Thank you

In a local diner, a customer slides an empty coffee cup down the counter for a refill. The cup slides off the counter and strikes the floor at distance d from the base of the counter. (a) If the height of the counter is h, find an expression for the time t it takes the cup to fall to the floor in terms of the variables h and g. t =        (b) With what speed does the mug leave the counter? Answer in terms of the variables d, g, and h. v1 =        (c) In the same terms, what is the speed of the cup immediately before it hits the floor? v2 =        (d) In terms of h and d, what is the direction of the cup's velocity immediately before it hits the floor? ? =         radians