Answer with readable handwritten solutions please, thank you.

Part II. Test your problem-solving skills. 1. A scientist was able to record the motion of a UFO flying above the ground. The position of the UFO followed the equation ? = (30.0 3):21 - 100 m - (2.50 $) :3|j. (a) What is the position vector of the UFO at t = 0 and at t = 15.0 s? (b) What are the average velocity and average acceleration of the plane over that duration? (c) What is the instantaneous acceleration of the UFO at t = 15.0 s? 2. In long and straight highway shown in the figure below, a bus initially at rest starts to accelerate at a constant rate of 2.50 m/s'. At the same instant, a car at some distance behind the bus, initially traveling at 15.0 m/s also starts to accelerate at 4.00 m/s3. The bus was overtaken by the car when its speed reaches 30.0 m/s. (a) Initially, how far is the car behind the bus? (b) How fast is the car moving when they are abreast? AX12 2.50 m/sz v. = 30.0 m/s 4.00 m/s2 Vic = 15 m/s O X1 X2 X3 AX13 3. An apple is tossed vertically up from the top of a 30.0 m tall building and reaches a height of 2.00 m above the rooftop. (a) With what speed is apple thrown upward? (b) Assuming that the apple does not hit the edge or walls of the building, how long would it take the apple to reach the ground? 4. In an explosive volcanic eruption, a molten rock spewed out from the 14.5 5 crater of the volcano reaches a maximum height of 2.481 km above ground after 14.5 s. This vertical position of the molten rock is 2.06 km away from the crater. (a) What is the magnitude and direction of the velocity of the molten rock as it was thrown out from the crater? (b) 2. 48 Am How high is the volcano? (c) How long would it take the molten rock to reach the ground? (d) How far is that from the crater? 1 06 Am 5. The radius of the earth at the equator is 3,963 miles. As the earth rotates about its own axis, what would be the (a) speed and (b)acceleration of a human standing on the surface of the earth at any point on the equator? Express your answer in SI unit and correct scientific notation