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
- 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.17.50sDiane 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.
- 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?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 RConsider the function x(t) = 23 - 3.2t describing the position of a carriage traveling along Kingsroad Highway. Note that x(t) is in meters and t is in seconds. Determine the speed of the vehicle at t = 5 seconds. a. 10.2 m/sb. 3.2 m/sc. 7.0 m/sd. 16 m/s