Chapter 12, Problem 139P

For 10 seconds, a race automobile accelerates at a = 5 + 2t m/s2 after starting from a rest. The brakes are then applied and the car has constant acceleration of a=-30m/s2 until it come to rest. Calculate the total travel time.

The car starts from rest at s = 0 and increases its speed at at = 4 m/s2. Determine the time when the magnitude of acceleration becomes 20 m/s2. At what position s does this occur.

The velocity of a particle moving in the x-y plane is given by (5.92i +4.07j) m/s at time t = 5.92 s. Its average acceleration during the next 0.019 s is (2.2i + 3.2j) m/s². Determine the velocity v of the particle at t = 5.939 s and the angle 8 between the average- acceleration vector and the velocity vector at t = 5.939 s. Answers: v = (i 0 = wpad i+ IN j) m/s

The velocity of a particle moving in the x-y plane is given by (4.32i + 5.97j) m/s at time t = 5.50 s. Its average acceleration during the next 0.029 s is (7.1i + 6.4j) m/s2. Determine the velocity v of the particle at t = 5.529 s and the angle θ between the average-acceleration vector and the velocity vector at t = 5.529 s.

The velocity of a particle moving in the x-y plane is given by (4.32i + 5.97j) m/s at time t = 5.50 s. Its average acceleration during the next 0.029 s is (7.1i + 6.4j) m/s2. Determine the velocity v of the particle at t = 5.529 s and the angle θ between the average-acceleration vector and the velocity vector at t = 5.529 s.   tried to solve it but my theta is wrong please help thank you

A. Determine the direction of the crate’s velocity at this instant. B. Determine the magnitude of the crate’s acceleration to this instant.

A motorcyclist at A is traveling at 60 ft/s when he wishes to pass the truck T which is traveling at a constant speed of 60 ft/s. To do so the motorcyclist accelerates at a = 6 ft/s2 until reaching a maximum speed of 85 ft/s. If he then maintains this speed, determine the time needed for him to reach a point located 100 ft in front of the truck. Draw the v-t and s-t graphs for the motorcycle during this time.

A block moves outward along the slot in the platform with a speed of r = (4t) m/s, where t is in seconds. The platform rotates at a constant rate of 6 rad/s. If the block starts from rest at the center, determine the magnitude of its velocity when t = 2s. 0 6 = 6 rad/s T

3. The motorcycle is traveling at 2 m/s when it is at A. If the speed is then increased at a rate of 0.1 m/s², calculate the speed and acceleration of the motorcycle when t = 5 s. y = 0.5x²