10. A plane flying at 245 m/s [E270S] takes 36 seconds to change its velocity to 245 m/s [S270E]. a) Solve for the change in velocity of the plane algebraically. b) What was the average acceleration of the plane over this time interval? c) Explain why the speed of the plane changed and yet the plane accelerated.

A car is driving on I-80 traveling at 75 mph. It passes a police officer on the side of the road who is stationary. The moment that the car passes the police officer, the officer accelerates at a constant rate of 20 ft/s2 until she reaches a speed of 80 mph. At that point, her speed is maintained.  a. How far does the police car travel before reaching its full speed (in ft)? b. How far does the car travel while the police car is speeding up (in ft)? c. How far does the police car travel before catching up with the car (in ft)?

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1. A rocket has an initial displacement of 1867 meters from the launchpad. It is moving with a velocity of 26 meters per second^2. What is it's displacement and velocity at t=200 seconds? 2. If this rocket has a jerk of 1 meter per second^3, then what is it's displacement at t=200 seconds? 3. If the rocket were traveling at an elevation angle (i.e., 0 degrees is horizontal and 90 degrees is vertical) of 30 degrees, then what is its horizontal displacement and its vertical displacement in meters?