1. A body moves along the x-axis. Its position is expressed in the given equation with respect to time: x = -4t + 2t2. With the given time intervals of t = 0 to t = 1 s and t = 1 s to t =3 s, find the body’s a) displacement b) average velocity and c) instantaneous velocity at t =2.5 s.

1. A body moves along the x-axis. Its position is expressed in the given equation with respect to time: x = -4t + 2t2. With the given time intervals of t = 0 to t = 1 s and t = 1 s to t =3 s, find the body’s a) displacement b) average velocity and c) instantaneous velocity at t =2.5 s.
2. A military jet lands on an aircraft carrier at a speed of 160 miles per hour. The aircraft carrier uses an arresting cable to decelerate the aircraft. a) Determine the constant acceleration at t = 2 s when it came to rest. b) At xi = 0 the jet touches down, what is the final position of the jet plane.
3. Two stones are hurled vertically from the ground, one with three times the initial velocity of the other. (a) If the faster stone takes 10 s to return to the ground, how long will it take for the
slower stone to return? (b) How high is the faster stone going to be, if the slower stone reaches a maximum height of H? Suppose a free fall.