What is the average acceleration of the ball

Question

Assignment:

Question 1. A ranger in a national park is driving at 56 km/h when a deer jumps onto the road 81 m ahead of the vehicle. After a reaction time of t s, the ranger applies the brakes to produce an acceleration of -3.3 m/s² .

What is the maximum reaction time allowed if the ranger is to avoid hitting the deer?

Question 2. A car starts from rest and travels for 6.8 s with a uniform acceleration of +2.0 m/s² .

The driver then applies the brakes, causing a uniform acceleration of -1.2 m/s² .

a) If the brakes are applied for 2.8 s, how fast is the car going at the end of the braking period?

Question 3. b) How far has it gone from its start?

Question 4. A ball is dropped from rest at point O (height unknown). After falling for some time, it passes by a window of height 2.3 m and it does so during time tAB = 0.22 s.

The acceleration of gravity is 9.8 m/s_².

The ball accelerates all the way down; let vA be its speed as it passes the window's top A and vB its speed as it passes the window's bottom B.

How much did the ball speed up as it passed the window; i.e., calculate ?v_down = _VB -v_A ?

Question 5. Calculate the speed v_A at which the ball passes the window's top.

Question 6. The position versus time for a certain object moving along the x-axis is shown. The objects initial position is -3 m.

Find the average velocity in the time interval 0 s to 1 s.

Question 7. Find the average velocity in the time interval 0 s to 3 s.

Question 8. Find the average velocity in the time interval 1 s to 3 s.
 
Question 9. Find the average velocity in the time interval 3 s to 7 s.

Question 10. Find the average velocity in the time interval 0 s to 9 s.

Question 11. A tennis ball with a speed of 24.3 m/s is thrown perpendicularly at a wall. After striking the wall, the ball rebounds in the opposite direction with a speed of 17.9 m/s.

If the ball is in contact with the wall for 0.014 s, what is the average acceleration of the ball while it is in contact with the wall?

Question 12. A ball is thrown upward. Its initial vertical speed is 10.2 m/s and the acceleration of gravity is 9.8 m/s²  as shown in the figure below.

Neglect: Air resistance.

What is its maximum height, h_max ?

Question 13. Find the speed vA of the ball as the ball passes a point A, which is at one quarter of the maximum height h_max/ 4 .

Question 14. A person travels by car from one city to another. She drives for 29.5 min at 62.7 km/h, 11.4 min at 105 km/h, 36.8 min at 47.9 km/h, and spends 12.1 min along the way eating lunch and buying gas.

Determine the distance between the cities along this route.
 
Question 15. Determine the average speed for the trip.