Please help with the following questionsL

*I just need to check my answers, no work needs to be shown, thanks,

In this exercise assume that the object is moving with constant acceleration in the positive direction of a coordinate line, and apply formulas (1) and (2) forthe position and velocity functions (where so and on are the position and velocity at time I = 0} as appropriate. 50) so + not + in? (1) v (1') U0 + at (2) A motorcycle, starting from rest, speeds up with a constant acceleration of 2.5 m/sz. After it has traveled 180 m, it slows down with a constant acceleration of 1.5 m/s2 until it attains a speed of 12 m/s. What is the distance traveled by the motorcycle at that point? Distance = a n m In this exercise assume that the object is moving with constant acceleration in the positive direction of a coordinate line, and apply formulas (1) and (2) for the position and velocity functions (where so and on are the position and velocity at time t = 0) as appropriate. 5\") = Sn + UHF 'l" i012 (1) U0) =v+ar (2) Acar that has stopped at a toll booth leaves the booth with a constant acceleration of4 ft/52.At the time the car leaves the booth it is 3850 ft behind a truck traveling with a constant velocity of 40 ft/s. How long will it take for the car to catch the truck, and how far will the car be from the toll booth at that time? It takes a seconds for the car to catch the truck. The distance from the toll booth at that moment is n feet. Assume that a free-fall model applies. Solve this exercise by applying the following formulas. 1 5(1) = Egtz + 001' + So 0(1) = gt + U0 A model rocket is red vertically upward with an initial velocity of 65 m/s from a tower 190 m high. Use 9.8 m/s2 as the gravitational constant. Round your answers to two decimal places. (a) How long will it take for the rocket to reach its maximum height? a seconds (b) What is the maximum height? meters (c) How long will it take for the rocket to pass its starting point on the way down? seconds (d) What is the velocity when it passes the starting point on the way down? m/s (e) How long will it take for the rocket to hit the ground? seconds (f) What will be its speed at impact? m/s