3. The acceleration of an object as a function of time is given by a = 3t² + 12t where a is in m/s² and t is in seconds. Determine the velocity between t = 2.5 s to t = 3.5 s.

A car starts from 2.00 m/s and accelerates at 4.00 m/s2 for 6.0 s, it coasts for 5.00 s, and then slows down at a rate of 2.00 m/s2to a stop. How far has it traveled, in meters? Your answer needs to have 3 significant figures, including the negative sign in your answer if needed. Do not include the positive sign if the answer is positive. No unit is needed in your answer, it is already given in the question statement.

1. A person travels by car from one city to another with different constant speeds between pairs of cities. She drives for 45.0 min at 65.0 km/h, 16.0 min at 70.0 km/h, and 35.0 min at 40.0 km/h and spends 35.0 min eating lunch and buying gas. (a) Determine the average speed for the trip.______km/h(b) Determine the distance between the initial and final cities along the route.______km

1. A pilot flies in a straight path for 1 h 30 min. She then makes a course correction, heading 10 degrees to the right of her original course, and flies 2 h in the new direction. If she maintains a constant speed of 610 mi/h, how far is she from her starting position?Your answer is    mi;Enter your answer rounded to two decimal places.   2. A steep mountain is inclined 74 degree to the horizontal and rises to a height of 3400 ft above the surrounding plain. A cable car is to be installed running to the top of the mountain from a point 880 ft out in the plain from the base of the mountain. Find the shortest length of cable needed.Your answer is    ft

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The circuit gilles villenueve racetrack in Montreal is 4.361 km long. The Canadian grand prix consists of 70 laps on the racetrack.Lewis Hamilton's average speed during the race was 3 km/h faster than Nico Rosberg's speed.Nico Rosberg received a "stop and go" penalty and had to stop for 10 seconds.Nico Rosberg crossed the finish line 1 minute and 30 seconds after Lewis Hamilton.Write an equation that could be used to determine Nico Rosberg's speed.

1. A car is travelling towards the start line and the timer starts timing when the car crosses the start line. When the car crosses the start line, it is travelling at 5 m.s1. The car maintains its speed for 3 seconds then speeds up to 8 m.s1 in 4 seconds. It maintains this speed for 1 second then brakes hard and comes to a rest in 3 seconds. 10 9. 8. 7 3 2 1 0. 0 1 2 3 4 7 8 9 10 11 Time (s) a) What is the instantaneous velocity of the car at t = 7 s? b) What is the displacement? c) What is the average velocity of the car for the journey? 5 4- Velocity (m/s)

2. Can an object with a velocity of zero experience an acceleration that is nonzero? Explain. 3. A ball is held in a person's hand. 53% Prsic 8A 令

10. A person travels by car from one city to another with different constant speeds between pairs of cities. She drives for 25.0 min at 75.0 km/h, 16.0 min at 100.0 km/h, and 40.0 min at 50.0 km/h and spends 30.0 min eating lunch and buying gas. Determine the average speed for the trip. (km/h) Determine the distance between the initial and final cities along the route. (km)