Near the end of a marathon race, the first two runners are separated by a distance...
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Near the end of a marathon race, the first two runners are separated by a distance of 75.0 m. The front runner has a velocity of 3.25 m/s, and the second runner has a velocity of 4.75 m/s. What is the magnitude of the velocity of the second runner relative to the first? velocity of the second runner relative to the first: m/s If the front runner is 215 m from the finish line,...
Two runners in a 100 m race start from the same place. Runner A starts as soon as the starting gun is fired and runs at a constant speed of 8.00 m/s. Runner B isn’t really paying attention and starts running 2.0 s later and runs at a constant speed of 9.3 m/s. a. Draw a position vs time graph for each runner. b. Who wins the race? c. At the instant the winner crosses the finish line, how far...
4. Two runners in a 100 m race start from the same place. Runner A starts as soon as the starting gun is fired and runs at a constant speed of 8.00 m/s. Runner B isn't really paying attention and starts running 2.0 s later and runs at a constant speed of 9.3 m/s. a. Draw a position vs time graph for each runner. b. Who wins the race? c. At the instant the winner crosses the finish line, how...
4. Two runners in a 100 m race start from the same place. Runner A starts as soon as the starting gun is fired and runs at a constant speed of 8.00 m/s. Runner B isn't really paying attention and starts running 2.0 s later and runs at a constant speed of 9.3 m/s. a. Draw a position vs time graph for each runner. b. Who wins the race? c. At the instant the winner crosses the finish line, how...
A cyclist sprints at the end of a race to clinch a victory. She has an initial velocity of 11.3 m/s and accelerates at a rate of 0.610 m/s for 7.85 s. (a) What is her final velocity? (Enter the magnitude in m/s.) 16.089 m/s (b) The cyclist continues at this velocity to the finish line. If she is 300 m from the finish line when she starts to accelerate, how much time did she save (in s)? (c) The...
The elite runners in an ultra-marathon will cross the finish line at random times described by a Poisson Process with rate λ=8 per hour. The 6th-place runner has just finished the race. We are interested in the time-lag from now until the 10th-place runner crosses the finish line. Consider the density function of this random time-lag. Calculate the parameter "w": Calculate the height of f(x) at x-o: Calculate the Mode "M": hours Calculate the height of f(x) at x-M: Calculate...
Races in athletics are started by the sound of a starting gun, traditionally located to one side of the first lane. But are runners disadvantaged if they are further away from the person holding the starting gun? Task Using algebra, investigate whether the distance from the starting gun will impact on a runner’s ability to win a race. Explore which runners would be most disadvantaged if the race was won by 0.1 seconds or 0.01 seconds. Useful information Runners...
During a track event two runners, Bob, and Jim, round the last turn and head into the final stretch with Bob a distance d in front of Jim. They are both running with the same velocity v 0 . When the finish line is a distance s away from Jim, Jim accelerates at a constant a J until he catches up to Bob and passes him. Jim then continues at a constant speed until he reaches the finish line. a)...
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ou're driving down the highway late one night at 30 m/s when you spot a deer in brakes is 0.35s and the maximum deceleration of your car is 8.0 m/s. the road some distance in front of you. Your reaction time before stepping on the a) What is the total distance covered by your car from the time you first see the (8pts) deer to when you are at a complete...
Two runners start at the same point on a straight track. The first runs with constant acceleration so that he covers 109 yards in 9 seconds. The second runner waits 3 seconds and then throws a rock at his opponent's head. If the head and the rock are at the same level form the ground, what must the initial magnitude of the velocity be if the rock is to hit the head just at the 109 yard tape? Give the...