Solve the following problems. Show all work in accordance with proper problem-solving practices. Graph paper is required to complete a portion of this exercise.
1. A body starts out with a velocity magnitude of 3.0 x 10exp4 m/s and 3.0 s later its velocity magnitude is 2.0 x 10exp6 m/s. Calculate its average acceleration during this interval.
2. The magnitude of the initial velocity of a body is 2.20 m/s. It is uniformly accelerated at 3.10 m/s/s. Calculate its velocity magnitude after 4.30 s.
3. A body starts from the origin of a Cartesian field with an initial velocity of +15 cm/s along the x-axis. Its acceleration, which is uniform, is +3.0 cm/s/s. Calculate its x-coordinate after 2.0 s.
4. A car, initially at rest, uniformly accelerates at 16.0 ft/s/s. Calculate the magnitude of its velocity after it has traveled 100. ft. Express your answer in m/s.
5. A ball is dropped from a building 121 feet tall. Calculate the time of fall.
6. The surface of a horizontal, flat-deck bridge is located approximately 500. m above the base of a chasm. Calculate the time of fall of a pebble kicked from the deck.
7. An airplane, initially traveling at 200. m/s, is uniformly accelerated at 5.00 m/s/s for 4.00 s. It then continues its flight at the airspeed it has acquired. (A) Prepare a speed-time data table and plot a speed-time graph for 8.00 s of the plane's motion starting from the time it began to accelerate. Determine from the graph the distance the plane traveled during (B) the first 4.00 s and (C) the first 8.00 s.