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- Suppose that a world-class long jumper jumped on the moon with the same initial velocity as that which would produce a world record breaking distance of 10.5 m on earth. What would be the range of this lunar long jump? Gravitational acceleration on the moon is 1.67 m/s2.The distance, in meters, traveled by a moving particle in tt seconds is given by d(t)=9t(t+6) Estimate the instantaneous velocity at t=2t=2 seconds using difference quotients with h=0.1h=0.1, 0.010.01, and 0.0010.001. If necessary, round the difference quotients to no less than six decimal places and round your final answer to the nearest integer.My mutt dog who seems to be a mix of pug, schnauzer, and dachshund, Boomer, likes to eat worms. He spots a juicy one in the grass and takes off from our porch at 5.22 m/s. When he reaches the worm, 8.16 m from our porch, he determines it's not up to his dog standards and decides to let it live another day. How long did it take Boomer to reach the worm, to two decimal places?
- You are driving along at a constatnt speed of 26 m/s and you look down at your phone to read a text message for 2.5 seconds. How many meters does the car travel while you are not looking?If it usually takes you three hours to arrive to Aqaba (from Amman) using a passenger car with amax. Speed of 100km/hr, estimate the time you need to reach to the same point if you own thisvehicleDwight decides to race around the perimeter of the Scranton business parkin an effort to beat another employee’s best running time. Assuming heruns with an average velocity of 10 ft/s, and he completes 4 laps in 5minutes,a. What is the perimeter of the business park in feet?b. In meters?( 1 ft = 0.3048 m )
- My pug/bulldog mix, Georgia, who is blind and deaf, gets a whiff of her dinner. As soon as it registers to her that it's dinnertime, she runs 4.12 meters from the middle of our living room to our kitchen, where she is satiated with her grub. If it takes her 4.45 s to get to the kitchen, what was her speed in m/s to the nearest hundredth?Playing jackstone as a kid, you discovered that there is a certain time before the rubber ball falls and you took advantage of this when picking up the stars on the floor. If you threw the ball 4.98m/s up into the air, how fast will it be moving at a height of 33.78cm? How much time has elapsed upon reaching this height?A ball is thrown into the air by a baby alien on a planet in the system of Alpha Centauri with a velocity of 26 ft/s. Its height in feet after t seconds is given by y=26t−13t^2A. Find the average velocity for the time period beginning when t=1 and lasting .01 s: .005 s: .002 s: .001 s: NOTE: For the above answers, you may have to enter 6 or 7 significant digits if you are using a calculator.Estimate the instanteneous velocity when t=1.
- Suppose the caravan of 10 cars begins immediately in front of the first toll booth, travels 20 km to a second toll booth, then another 40 km to a third toll booth, and finally stops immediately after the third tool booth. Thus, they travel a total of 60 km. What is the total end-to-end delay? Where is the last car in the caravan after one hour? Your answer must include a distance/specific location, and not only a relative direction.A car initially traveling east with a speed of 5m/s, is accelerated uniformly at 2 m/s2 east for 10 seconds along a straight line. During the 10sec interval the car travels a total distance of??If a running back gets hit while he is moving at 2.24 m/s and experiences an accleration -12.8 m/s2, how long will it take him to stop running?
