An engineer is setting a speed limit on a road. She wants a car to be able to stop in 191ft and knows that the maximum rate at which a car can safely brake is 16.0ft/s2. What initial speed (in given units) will allow the car to come a stop at the stop sign when braking with this acceleration? Could a car traveling 60mph come to a stop before the stop sign?
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An engineer is setting a speed limit on a road. She wants a car to be able to stop in 191ft and knows that the maximum rate at which a car can safely brake is 16.0ft/s2.
What initial speed (in given units) will allow the car to come a stop at the stop sign when braking with this acceleration?
Could a car traveling 60mph come to a stop before the stop sign?
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- In order to pass a physical education class at a university, a student must run 1.0 mi in 13.3 min. After running for 10 min, she still has 670 yd to go. If her maximum acceleration is 0.15 m/s?, can she make it? (Assume the student runs at a constant speed for the first 10.0 min.) O Yes O No If the answer is no, determine what acceleration she would need to be successful. (If the answer is yes, enter 0.) |m/s²here is my problem, I need help: 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 2.64 ss , what will be his total time? Express your answer in seconds.A plane accelerates from rest at a constant rate of 5.20 m/s2 along a runway that is 1900 m long. Assume that the plane reaches the required takeoff velocity at the end of the runway. What is the time t needed to take off?
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- 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 1000 m/s2 lasting for at least 1 ms will cause injury. Suppose a small child rolls off a bed that is 0.36 m above the floor. If the floor is hardwood, the child's head is brought to rest in approximately 2.2 mm. If the floor is carpeted, this stopping distance is increased to about 1.2 cm. Calculate the magnitude and duration of the deceleration in both cases, to determine the risk of injury. Assume that 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. Hardwood floor magnitude m/s2 duration ms Carpeted floor magnitude m/s2 duration msOmar throws a rock down with speed 8.5 m/s from the top of a tower. The rock hits the ground after 5.4 s. What is the height of the tower? (air resistance is negligible)On a hot day in the flats, the temperature is 100.9 degrees. A driver finds an empty, flat stretch of desert that is 1575 meters long and decides to push the limits of his car. He finds the car can accelerate from 0 to 60 mph (26.8 m/s) in 4.21 s. Now he wants to see how fast the car can go. Assume the car maintains the same average acceleration until it reaches its top speed of 69.1 m/s. (a) How long will it take the car to reach its top speed? (b) How far will the car travel before it reaches its top speed?