A roller coaster starts going down a hill from rest. It accelerates at 4.0 m/s^2. If it is on the hill for 6.0s, how fast (in m/s) is it going at the bottom of the hill?

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?

A car position is. determined by the equation x(t) = 7.45 m/s^3t^3+3.91 m/s^2t^2-21 m/s t+2.17 m. what is the cars acceleration at t = 7s?

A car traveling with an initial velocity of 26.75 m/s to the east, sees a wall 68.12 meters to its east. It applies the break and slows down with an acceleration of 3.22 m/s² to the west. How fast is the car in m/s when it hits the wall?

A car is traveling west at 22.5 m / s when it turns due south and accelerates to 37.5 m /s, alt during a time of 4.00 s. what is the magnitude of the car's average acceleration

A blue car travels down a straight road at a constant speed of 19.9 m/s. As they pass a red car, initially stopped on the side of the road, the red car speeds up at a rate of 1.80 m/s?. How much distance (in m) does the red car travel before it overtakes the blue car?

Problem 4: A particle moving along a straight path has an acceleration defined by a = 0.6s + 3.6 ft/s², where s is in feet. If the particle's speed is 1.2 ft/s at s = 0, find its speed when s = 8 feet.

You throw a ball straight up with an initial velocity of 16.2 m/s. It passes a tree branch on the way up at a height of 6.75 m. How much additional time (in s) will pass before the ball passes the tree branch on the way back down?

A jet fighter needs to be at the speed of 170mi/hr. What is the acceleration needed for the jet fighter to fly off the carrier in m/s²? A carrier runway is 300ft long. Assume that the aircraft experience uniform acceleration. How long will the jet fighter need to reach the needed speed in seconds

In this question we will work through the steps to solve this question: A bus is travelling along a straight road at 25 m/s (90 km/h) when the driver sees a deer on the road and slams on the breaks. This causes a constant deceleration (a negative acceleration) of k m/s2. It takes the bus 5 seconds to stop. How far does the bus travel before coming to a stop? Steps in solution: Let t= 0 at the moment the bus driver slams on the breaks. Let v (t) be the velocity of the bus at time t (measured in m/s). Let s (t) be the position of the bus at time t (measured in meters), and let's choose s (0) = 0. a) Find v (0) in m/s. [Select] b) What does "a constant deceleration (a negative acceleration) of k m/s2" mean? [Select] c) What does "It takes the bus 5 seconds to stop" mean? [Select] d) Use the information in parts (a)-(c) to find a value for k, and an expression for v (t) [Select] e) Use the information from (d) as well as s (0) = 0 to find an expression for s (t). [Select] f) What should…