An object moves with a constant acceleration of 4.00 m/s2 and over a time interval reaches a final velocity of 12.0 m/s. a. If its original velocity is 6.00 m/s, what is its displacement during the time interval? b. What is the distance it travels during this interval? c. If its original velocity is 26.00 m/s, what is its displacement during this interval? d. What is the total distance it travels during the interval in part (c)?

An object is thrown straight up with an initial velocity of 31 m/s. a. How high does it go in meters? b. How long is it in the air in seconds?

Coasting due West on your bicycle at 9.6 m/s, you encounter a sandy patch of road 6.7m across. When you leave the sandy patch your speed has been reduced by 3.8m/s to 5.8 m/s. a. Assuming the sand causes a constant acceleration, what was the bicycle’s acceleration in the sandy patch? Give both the magnitude and direction. b. How long did it take to cross the sandy patch? c. Suppose you enter the sandy patch with a speed of only 7.6 m/s. Is your final speed in this case 3.4m/s, more than 3.4m/s, or less than 3.4 m/s? Explain.

A block of mass m= 5.00 kg is reased from point A and slides dows the frictionless track shown in the figure. calculate the speed of the block at piont B and C. g= 9.8m/s2

2. A jet plane has a takeoff speed of vtakeoff = 73 m/s and can move along the runway at an average acceleration of 2.4 m/s2. The runway is 1.2 km. Write out the 3 Kinetic equations. a. b. Write out the values of initial position, initial velocity, and acceleration. How many seconds will it take for the plane to reach takeoff speed? с. d. How far will the plane have to travel to get to takeoff speed? will the plane be able to get to take off before it gets to the end of the runway? е.

A ball is thrown straight upward from a height of 3.2 m with a velocity of 13.0 m/s. a. What is the maximum height the ball reaches? b. How long does it take the ball to reach the maximum height? c. What is the total time the ball is in the air? d. With what velocity does the ball impact the surface?

1. In this problem assume the positive direction is up and the negative direction is down and that the floor is zero position. a. A ball starts 1.5 m above the floor. The ball is dropped, it hits the floor and bounces. Make a sketch of the position vs. time graph you would expect as the ball falls, hits the floor, bounces back up, then falls to hit the floor again. Which kinematic equation describes the position of the ball, as time passes, while it is in the air? b. Make a sketch of the velocity vs. time graph for the ball as it falls, hits the floor, bounces back up, and falls to hit the floor. Which kinematic equation describes the velocity for the ball, in terms of time, while it is in the air? c. Make a sketch of the acceleration vs. time graph for the ball as it falls, hits the floor, bounces back up, and falls to hit the floor. What will be the acceleration of the ball as it falls? What will be its acceleration as it rises?

At the instant the traffic light turns green, a car starts from rest with a constant acceleration of 3.0 m/s2 . At that instant, a truck travelling with a constant speed of 36 km/h overtakes and passes the car. a. How long does it take the car to overtake the truck?  b. How fast will the car be travelling when it overtakes the truck.