Chapter 12, Problem 12FP

A particle moves counterclockwise in a circular path of 400 ft radius. It starts from a fixed point which is horizontally to the left of the center of the path and moves so that s = 10t2 + 20t where s is the arc distance in ft and t is the time in sec. Compute the (a) velocity at the end of 4 sec (b) x and y components of the acceleration at the end of 4 seconds

A particle moves counterclockwise on a circular path of 400 ft radius. It starts from a fixed point which is horizontally to the right of the center of the path and moves so that s = 10t2 + 20t where s is the arc distance in feet and t is the time in seconds. Compute x and y components of the acceleration at the end of 3 seconds. Ans: ax = -22.2 ft/s2 and ay = 12.7 ft/s2

The y-coordinate of a particle in curvilinear motion is given by y - 4 - 3t, where y is in inches and t is in seconds. Also, the particle has an acceleration in the x-direction given by a, - 12t in. /sec. If the ve- locity of the particle in the x-direction is 4 in./sec when t- 0, calculate the magnitudes of the velocity v and acceleration a of the particle when t 1 sec. Match each item to a choice: Velocity: Acceleration: Choices E28.1 in/s2 # 13.45 in/s # 34 6 in/s # 15.4 in/s # 24.1 in/s2 # 22.8 in/s # 26.8 in/s2

4. A car starts from rest and accelerates uniformly to a speed of 72 km/h. over a distance of 500 m. Calculate the acceleration and the time taken to attain the speed. If a further acceleration raises the speed to 90 km/h in 10 seconds, find this acceleration and the further distance moved. The brakes are now applied to bring the car to rest under uniform retardation in 5 seconds. Find the distance travelled during braking.

If the acceleration A of a particle is 4 in. per sec per sec. and its initial velocity is zero, find the time required for this particle to move 32 in. *

The sprinter begins from rest at position A and accelerates along the track. If the stationary tracking camera at O is rotating at the rate of 15.1 deg/s when the sprinter passes the 65-m mark, determine the speed v of the sprinter and the counterclockwise value of r. Part 1 Answers: r= Calculate the distance r, the angle 9, and the rate of rotaion of the camera in rad/s. 0= 0= i 46 m i 46 m 0. m 0 0 15 m rad/s 15 m

The sprinter begins from rest at position A and accelerates along the track. If the stationary tracking camera at O is rotating counterclockwise at the rate of 13.1 deg/s when the sprinter passes the 65-m mark, determine the speed v of the sprinter and the value of r. Part 1 Answers: r = Calculate the distance r, the angle 0, and the rate of rotaion of the camera in rad/s. 0= 0 = i i 46 m i 46 m 3 0 O rad/s 12 m 0 12 m

answer a b c only

Please list the given and the formula that had been used. Please complete the prodecure and the solution and the figure. Box the final answer.