The driver of a train traveling at 30 m/s applies the brakes when he passes an amber signal. The next signal is 1.5 km down the track and the train reaches it 75 s later. Assuming a uniform acceleration, find the velocity of the train at the second signal and the train’s acceleration.
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- As soon as a traffic light turns green, a car speeds up from rest to 48.0 mi/h with constant acceleration 10.00 mi/h/s. In the adjoining bike lane, a cyclist speeds up from rest to 25.0 mi/h with constant acceleration 14.50 mi/h/s. Each vehicle maintains constant velocity after reaching its cruising speed. (a) For what time interval is the bicycle ahead of the car? X S (b) By what maximum distance does the bicycle lead the car? X ftIn a test run, a certain car accelerates uniformly from zero to 21.6 m/s in 2.15 s. (a) What is the magnitude of the car's acceleration?(b) How long does it take the car to change its speed from 10.8 m/s to 21.6 m/s?Car A is traveling at a location where the speed limit is 100 km/h. The police officer in car P observes this speed via radar. The driver of car A is traveling at VA = 133 km/h as it passes P, but over the next 5.9 seconds, the car uniformly decelerates to the speed limit of 100 km/h, and after that the speed limit is maintained. At the moment when A passes P, the police car begins to accelerate at the constant rate of 4.1 m/s² until a speed of 154 km/h is achieved, and that speed is then maintained. Determine the distance s required for the police officer to overtake car A.
- A car traveling 56.0 km/h is 24.0 m from a barrier when the driver slams on the brakes. The car hits the barrier 2.00 s later. (a) What is the magnitude of the car’s constant acceleration before impact? (b) How fast is the car traveling at impact?A person travels by car from one city to another with different constant speeds between pairs of cities. She drives for 30.0 min at 85.0 km/h, 17.0 min at 90.0 km/h and 55.0 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 this route. kmA subway train starts from rest at a station and accelerates at a rate of 1.60 m/s2 for 14.0 s. It runs at constant speed for 70.0 seconds and slows down at a rate of 3.50 m/s2 until it stops at the next station. Find the total distance covered.
- An object that moves from rest and accelerates uniformly in a straight line in the direction of the x axis. After 11 seconds, the object has a speed of 70.0 m / s. ,determins the average speed of the object during the 11 seconds.Please answer all question parts: A Lockheed Martin F-35 Lightning II jet takes off from an aircraft carrier with a runway length of 97 m and a takeoff speed 72 m/s at the end of the runway. Jets are catapulted into airspace from the deck of an aircraft carrier with two sources of propulsion: the jet propulsion and the catapult. At the point of leaving the deck of the aircraft carrier, the F-35's acceleration decreases to a constant acceleration of 4.3 m/s2 at 33° with respect to the horizontal. (Assume that the F-35's initial direction along the deck of the aircraft carrier is the +x-direction and that the +y-direction is up.) (a) What is the initial acceleration (in m/s2) of the F-35 on the deck of the aircraft carrier to make it airborne? (Enter the magnitude.) (b) Write the position (in m) and velocity (in m/s) of the F-35 in unit vector notation from the point it leaves the deck of the aircraft carrier. (Use the following as necessary: t.) (c) At what altitude (in m) is…A person is driving along a straight highway at a speed of 21.0 m/s when the traffic light which is 43.0 m ahead turns yellow. Because of his reaction time, there's a delay of 0.10s before the man steps on the brakes. The car then slows with a deacceleration of 4.00 m/s^2. By how much distance does the driver miss the traffic light line?
- A person takes a trip, driving with a constant speed of 95.5 km/h, except for a 22.0-min rest stop. If the person's average speed is 70.8 km/h, find the following. (a) How much time is spent on the trip? (b) How far does the person travel? kmReview. You are sitting in your car at rest at a traffic light with a bicyclist at rest next to you in the adjoining bicycle lane. As soon as the traffic light turns green, your car speeds up from rest to 49.0 mi/h with constant acceleration 8.00 mi/h/s and thereafter moves with a constant speed of 49.0 mi/h. At the same time, the cyclist speeds up from rest to 22.0 mi/h with constant acceleration 14.00 mi/h/s and thereafter moves with a constant speed of 22.0 mi/h. (a) For what time interval (in s) after the light turned green is the bicycle ahead of your car? S (b) What is the maximum distance (in ft) by which the bicycle leads your car during this time interval? ftAn automobile travels on a straight road for 34 km at 36 km/h. It then continues in the same direction for another 34 km at 72 km/h. (a) What is the average velocity of the car during this 68 km trip? (Assume that it moves in the positive × direction.) (b) What is the average speed?