A car is traveling at 40 mph on a straight road. The driver applies the brakes for 3 sec, producing a constant deceleration of 5.5 ft/sec2, and then immediately accelerates at 2.9 ft/sec2. Starting from the time the driver applied the acceleration, how long does it take (in seconds) for the car to return to its original velocity?
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- One simple model for a person running the 100 mm dash is to assume the sprinter runs with constant acceleration until reaching top speed, then maintains that speed through the finish line. If a sprinter reaches his top speed of 11.1 m/sm/s in 2.44 ss , what will be his total time?A car is moving with a speed of 32.0 m/s. The driver sees an accident ahead and slams on the brakes, causing the car to slow down with a uniform acceleration of magnitude 3.50 m/s2. How far does the car travel after the driver put on the brakes until it comes to a stop?A car starts from rest, then accelerates at a constant rate over a distance of 89 m. It then immediately decelerates at a constant rate over a distance of 152 m. The entire trip lasts a total duration of 27.2 s. What were the magnitudes of the car s accelerations for the speedup and slowdown stages respectively? 1. 1.76 m/s^2, then 1.03 m/s^2 2. 3.27 m/s^2, then 5.59 m/s^2 3. 0.65 m/s^2, then 0.65 m/s^2 4. 5.59 m/s^2, then 3.27 m/s^2
- You are standing on a circular track that is 315 m long. You begin jogging at the start line and keep jogging until you complete one full lap and stop at the same point you started at. - What is the total distance you travel? - What is your final displacement? A world class sprinter ran 200 m in 21.75s. What was her average speed? (m/s)Traumatic brain injury such as concussion results when the head undergoes a very large acceleration. Generally, an acceleration less than 800 m/s2 lasting for any length of time will not cause injury, whereas an acceleration greater than 1,000 m/s2 lasting for at least 1 ms will cause injury. Suppose a small child rolls off a bed that is 0.41 m above the floor. If the floor is hardwood, the child's head is brought to rest in approximately 1.7 mm. If the floor is carpeted, this stopping distance is increased to about 1.4 cm. Calculate the magnitude and duration of the deceleration in both cases, to determine the risk of injury. Assume the child remains horizontal during the fall to the floor. Note that a more complicated fall could result in a head velocity greater or less than the speed you calculate. find: hardwood floor magnitude hardwood floor duration carpeted floor magnitude carpeted floor durationIn order to pass a physical education class at a university, a student must run 1.0 mi in 12.6 min. After running for 10 min, she still has 600 yd to go. If her maximum acceleration is 0.15 m/s2, can she make it? (Assume the student runs at a constant speed for the first 10.0 min.) Yes No If the answer is no, determine what acceleration she would need to be successful. (If the answer is yes, enter 0.) m/s2
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