A runner is running at a constant speed of The runner gets tired and slows down to a speed of in 5 seconds. What is the acceleration of the runner? -3 A C D 3. B
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- A cyclist sprints at the end of a race to clinch a victory. She has an initial velocity of 11.5 m/s and accelerates at a rate of 0.500m/s2 for 7.00 s. (a) What is her final velocity? (b) The cyclist continues at this velocity to the finish. If she is 300 m from the finish line when she starts to accelerate, how much time did she save? (c) The second-place winner was 5.00 m ahead when the winner started to accelerate, but he was unable to accelerate, and traveled at 11.8 m/s until the finish line. What was the difference in finish time in seconds between the winner and runner-up? How far back was the runner-up when the winner crossed the finish line?A swan on a lake gets airborne by flapping its wings and running on top of the water. (a) If the swan must reach a velocity of 6.00 m/s to take off and it accelerates from rest at an average rate of 0.35m/s2 , how far will it travel before becoming airborne? (b) How long does this take?B. Solve the problems correctly. Present all solutions. 3. all Upiect ct: 5? 4. The brakes of a car moving at 14 m/s are applied, and the car comes to a stop in 4s. How far does the car go, while it is slowing down from 14 to 10 m/s? 5. The brakes of a car whose initial velocity is 30 m/s are applied, and the car receives an acceleration of -2 m/s². How far will it have gone (a) when its velocity has decreased to 15 m/s and (b) when it comes to a stop? 6. A car starts from rest and accelerates 10 m/s². (a) How far will it travel after 5 seconds? (b) How far will it travel during the sixth second?
- One fine day on an unused dirport runway, a high-end sports car conducted a 0 to 400 km/h performance test. Its velocity changed according to the following function v = a(1 – e " 16. where. 128.1 m/s b = 13.31 s Answer these three related questions. d. How long did it take the car to reach 400 km/h (111.111 m/s)? b. What was its average acceleration during the test? What is the car s theoretical top speed? с.A train moving with constant acceleration travels 7.50 m the 10 th sccond Of its motion during and 5.50 m duning the 12th second OF of its motion. a What is the initial velucity of the train ? b. lohat is the acceleration OF the train ? C: Dctermine the dis tance trave ked by tronh until it stops?an suv travels a 1.30 km levelled road from bonifacio rotunda to citylighs hotel in a minimum time of 45.60 sec. the suv starts from rest at the rotunda, travels at a constat speed for some time and will stop at citylights hotl. given that the car accelerates and decelerates at 2.53 m/s^2. determibe a. the maximum speed (in kph) b. the time (in seconds) it travels at this speed
- Diane dives in a pool moving at 7.6 m/s until reaching 8.42 m from the diving board. Solve thefollowing:a. The average acceleration of the diver as she travels through the waterb. Time the diver comes to a stopC. The speed of the diver after diving 5.87 mA sports car driven by Snoop Dog covers 60 m in 10 sec while uniformly slowing down to a final velocity of 5.637 knots. a. Solve for the sport car's original speed b. Solve for its acceleration.Santa Claus' sleigh starts from rest and accelerates at a=30+20t, until its velocity is constant at 400 m/s. It then hits an iceberg and the equat ion of the acceleration is a = -0.003 until the velocity decreased to 100 m/s. 1. Compute the time the sleigh reaches v= 400 m/s a. 10s b. 15 s c. 25s d. 20 s 2. What is the total distance Santa Claus traveled? a. 1833.30m b.2757.50m c. 463.10m d. 2295.40 m 3. Compute the total time of travel. a.22.50s b.27.50s c.12.50s d.17.50s
- The Tiida is a vehicle in motion from rest and accelerating at a rate of 4 m / s2 over a distance of 20 m. What is the vehicle's speed and how long does it take to travel n 20?1. While driving on a back country road, a park ranger suddenly sees a deer frozen in her headlights. The ranger, who is driving at 12.0 ?/?, immediately applies the brakes and slows with an acceleration of 4.0 ?/?2.a. If the deer is 20.0 ? from the ranger’s vehicle when the brakes are applied, how close does the ranger come to hitting the deer?b. How much time did it take for the ranger to stop?this speed. E. Suppose that you are driving a car with 20 m/s in winter and then your car got skid to a stop in 10 s. Determine the skidding distance of the car (assume uniform acceleration). A truck started with 9 m/ and th R