Identify the Given, Required and Solution of each given problem. ( Please display the entire solutions. In addition, I will be able to comprehend and examine the problem. )

40. An airplane, starting horn rest, moves down the ninway at constant acceleration in: 18 s and then takes oft at a Speed of 60 mfs. What is the average acceleration of the plane? 41A particle moves in a straight line with an Initial velocity of 30 mls and constant acceleration 30 mist (a) What is its displacement at t = S s? (b) What is its velocity at this same time? 48A particle has a constant acceleration of 6.0 m/s'. (a) if its initial velocity is 2.0 m/s, at what time is its displacement 5.0 m7 (b) What is in; veiocrty at that time? 49.At t = 10 s, a particle is moving from left to right with a speed of 5.0 m/s. At t = 20 s, the particle is moving right to left with a speed of 8.0 m/s. Assuming the particle's acceleration is constant, determine (a) its acceleration, (b) its initial veiocrty, and (c) the instant when its velocity is zero. SO.A well-thrown ball is caught in a well-padded mitt. If the acceleration of the bail Is 2.10 x 10' m/si, and 1.85 ms (1 ms = 10-1 s) elapses from the time the ball rst touches the mitt until it stops, what is the initial velocity of the ball? 51.A bullet in a gun is accelerated from the firing chamber to the end of the barrel at an average rate of 6.20 x 10* m/s2 for 8.10 x 10" 5. What is its muzzle velocity (that is, its nal velocity)? 52. (a) A light-rail commuter train accelerates at a take to reach its too speed of 80.0 km/h starting from rest? (b) The same train ordinarily decelerates at a rate of 1.65 m/ . _ stop from its top speed? (c) In emergencies, the train candecelerate more rapidly, coming to rest from 80.0 km/h in 8.30 5. What IS its emergency acceleration in meters per second squared? 53. While entering a freeway, a car accelerates from rest at a rate of 2.04 rn/s2 for 12.0 s. (a) Draw a sketch of the situation. (b) List the knowns in this problem. (c) How far does the car travel in those 12.0 5? To solve this part, rst identify the unknown, then indicate how you chose the appropriate equation to solve for it. After choosing the equation, show your steps in solving for the unknown, check your unit; , and discuss whether the answer is reasonable. (d) What is the car's nal velocity? Solve for this unknown in the same manner as in ((3), showing all steps explicitly