Two cars travel along a level highway. An observer notices that the distance between the cars is increasing. Which one of the following statements concerning this situation is necessaril true? a) Both cars could be accelerating at the same rate. b) The leading car has the greater acceleration. c) The trailing car has the smaller acceleration. d) The velocity of each car is increasing. e) At least one of the cars has a non-zero acceleration.
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- A powerful motorcycle can accelerate from rest to 26.8 m/s (60 mi/h) in only 4.90 s. (For each answer, enter a number.) (a) What is its average acceleration in m/s2? m/s2 (b) How far (in m) does it travel in that time? m †A car is stopped at a traffic light. It then travels along a straight road so that its distance from the light is given by ?(?) = ??^2 − ??^3, where ? = 2.40 ?/?^2 and ? = 0.120 ?/?^3. a) Calculate the average velocity of the car for time interval ? = 0 to ? = 10.0?. b) Calculate the instantaneous velocity of the car at ? = 0, ? = 5.0?, and ? = 10.0?. c) How long after starting from rest is the car again at rest?Please don't provide handwritten solution... A police car chases a speeder who is moving at a speed of 125 km/hr. The maximum speed of a police car is 190 km/hr. A police car moves from rest with a constant acceleration of 8 km/hr to a speed of 190 km/hr. This police car then moves at a constant speed. a) will the police car overtake the speeder if the police car moves just as the speeder passes it? (b) How far has each car travelled ? (c) sketch x(t) for each car
- 6A record of travel along a straight path is as follows: 1. Start from rest with constant acceleration of 2.05 m/s2 for 12.0 s.2. Maintain a constant velocity for the next 2.00 min.3. Apply a constant negative acceleration of −9.41 m/s2 for 2.61 s. (a) What was the total displacement for the trip? _ m(b) What were the average speeds for legs 1, 2, and 3 of the trip, as well as for the complete trip? _ m (b) What were the average speeds for legs 1, 2, and 3 of the trip, as well as for the complete trip? leg 1 _ m/s leg 2 _ m/s leg 3 _ m/s complete trip _ m/sIn a test run, a certain car accelerates uniformly from zero to 20.2 m/s in 2.75 s. (a) What is the magnitude of the car's acceleration? m/s² (b) How long does it take the car to change its speed from 10.1 m/s to 20.2 m/s? S (c) Will doubling the time always double the change in speed? ○ Yes ○ No Why?
- 2. a) A motorcyclist who is moving along an x axis directed toward the east has a velocity given by v = (14t - 6t) m/s. If the motorcyclist starts at x = 0 at time t = 0, i) Find the time t when cyclist is again at x =0. %3D ii) What is cyclist acceleration at that time?A car travels on a road that is parallel to a train track. The car stops at a traffic light and at the same time a train passes with a constant speed of 12.0 m/s. The car remains stopped for 6.0 s and then leaves with a constant acceleration of 2.0 m/s*. Determine: A) The time it takes the car to reach the train, measured from the moment it stopped at the traffic light. B) The distance that the car traveled from the traffic light until it reached the train. C) The speed of the car at the moment it reaches the train. The solutions should be : A) 22.4 s B) 268.8m C) 32.8m/s10. A person is driving along a straight highway at a speed of 22.0 m/s when the traffic light which is 41.0 m ahead turns yellow. Because of his "reaction time", there is a delay of 0.11 s before the man steps on the brake. The car then slows with a deceleration of 4.40 m/s2. By how much distance does the driver miss the traffic light line? 50 ssi sf60 sf60 60 ssf60%
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