Chapter 02, Problem 111 A certain sprinter has a top speed of 10.8 m/s. If the sprinter starts from rest and accelerates at a constant rate, he Is able to reach his top speed in a distance of 11.1 m. He is then able to maintain his top speed for the remainder of a 100 m race. (a) What is his time for the 100 m race? (b) In order to improve his time, the sprinter tries to decrease the distance reguired for him to reach his top speed. What must this distance be if he is to achieve a time of 10.1 s for the race? Units (a) Number ()Numbor Units
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- A car starts from rest, then accelerates at 1.20 m/s? for 7.00 s. It hits the brakes, slowing to a stop at a rate of -4.25 m/s². What is the total time for the problem? (Unit = s)In a 5000 m race, the athletes run 12(1)/(2) laps; each lap is 400 m. Kara runs the race at a constant pace and finishes in 17.5 min. Hannah runs the race in a blistering 15.3 min, so fast that she actually passes Kara during the race. How many laps has Hannah run when she passes Kara?One simple model for a person running the 100 m 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 11.5 m/s in 2.24 s , what will be his total time? Express your answer in seconds.
- 6: In World War II, there were several reported cases of airmen who jumped from their flaming airplanes with no parachute to escape certain death. Some fell about 20,000 feet (6000 m), and some of them survived, with few life-threatening injuries. For these lucky pilots, the tree branches and snow drifts on the ground allowed their deceleration to be relatively small. Assume a pilot’s speed upon impact was 54 m/s and the trees and snow stopped him over a distance of 7.6 m. Use a coordinate system where down is positive and, assuming constant acceleration, find the pilot’s acceleration after impact, in meters per second squared.A car starts from rest. It accelerates at constant acceleration for 5.0 seconds during which the car covers a distance of 125 m. After that the car continues at that speed for 22 seconds, after which the car slows down at a constant deceleration of – 4.5 m/sec2 until coming to a complete stop. Draw a v vs t, graph, label all the relevant data, and use the graphical method to determine total distance traveled.1. A particle moves according to the equation x = 2t³ - 2t + 1, where x is in meters and t in seconds. (a) Find instantaneous acceleration as a function of time. (b) Find the value of the instantaneous acceleration at t = 3.5 s.
- A driver is driving uphill. He maintained his throttle, causing his car to constantly decelerate as it is coming up the hill. The road going up the hill is 217 m long and it took him 8.8 seconds to get to the top of the hill. His speed has reduced to 22 m/s at that point. What was the car's acceleration (include a negative sign in your answer)? Hint: the initial position of the car can be set at the origin.Problem 5: a) What is the final velocity of a train that starts with a velocity of 4 m/s then accelerates at 0.05 m/s² for 8 minutes? b) Once at this speed, how long will it take the train to decelerate to a stop if it can slow at a rate of 0.55 m/s² when braking? c) What distance does the train travel while it is braking to a stop?A golf ball is dropped from rest from a height of 9.90 m. It hits the pavement, then bounces back up, rising just 6.30 m before falling back down again. A boy then catches the ball when it is 1.40 m above the pavement. Ignoring air resistance, calculate the total amount of time that the ball is in the air, from drop to catch. Number i Units
- A car is initially at rest on a straight road. The graph shows the acceleration of the car along that road as a function of time. a (m/s/s) 4 3 2 -1 -2 -3 0 1 2 3 4 5 Submit Answer Tries 0/12 7 t (s) What is the speed of the car at t=7 s? Submit Answer Tries 0/12 6 How much distance does the car cover in the first 8 seconds? 8 9 10 11 12 Submit Answer Tries 0/12 What is the speed of the car at t=12 s? Submit Answer Tries 0/12 Determine the distance covered by the car between t=11s and t= 13 s? 13 14A circular racetrack has a distance of 755 m. A racer is currently driving her car on the racetrack. As she starts the car from rest, it begins to accelerate to a speed of 120 kph in 9 s. a. Determine the magnitude of the total acceleration of the car, 4 s after the car begins to increase its speed. b. If she maintains the speed of the car to be 120 kph, determine the magnitude of the total acceleration of the car after 5s. c. Upon accelerating to 120 kph, will the car pass its starting point? Prove using kinematic equations.Fast Car: On a hot day in the flats, the temperature is 103.6 degrees. A driver finds an empty, flat stretch of desert that is 1776 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 4.30 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 84.8 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?