a car can accelerate at a rate of 4m/s^2 and can brake at a rate of -6m/s^2. if the distance between two stop signs is 120m and the speed limit is 24m/s, what is the shortest time it can take the driver to legally cover the distance between two stop signs?

In order to pass a physical education class at a university, a student must run 1.0 mi in 13.3 min. After running for 10 min, she still has 670 yd to go. If her maximum acceleration is 0.15 m/s?, can she make it? (Assume the student runs at a constant speed for the first 10.0 min.) O Yes O No If the answer is no, determine what acceleration she would need to be successful. (If the answer is yes, enter 0.) |m/s²

A ball is thrown straight upward. At 6.89 m above its launch point, the ball's speed is 1.75 times smaller than its launch speed. What maximum height above its launch point does the ball attain, in meters? Ignore air resistance.

If a stone is dropped from the top of a tower with initial release velocity equal to zero, it falls a distance d in time t given by d = ½ gt2 where g is acceleration due to gravity (g = 9.8 m/s2). Its speed v at time t is given by v = gt. Suppose you go to the top of a tower and drop a stone. It hits the ground after 4.5 seconds. By how much does it drop in 1 second? How much is its displacement between 1 s and 2 s? What is the height of the tower? Drop = 14.7 m, Displacement = 4.9 m, Height = 19.6 m Drop = 4.9 m, Displacement = 14.7 m, Height = 99 m Drop = 4.9 m, Displacement = 14.7 m, Height = 19.6 m