4. Two runners in a 100 m race start from the same place. Runner A starts...
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...
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...
Near the end of a marathon race, the first two runners are separated by a distance of 45.0 m. The front runner has a velocity of 3.45 m/s, and the second a velocity of 4.25 m/s. (a) What is the velocity(in m/s) of the second runner relative to the first? m/s faster than the front runner (b) If the front runner is 250 m from the finish line, who will win the race, assuming they run at constant velocity O...
17. Two runners start running in the same direction at the same instant, t- 0.00. Runner A starts from a point that is 20.0 meters in front of runner B. Runner A starts with and maintains a constant acceleration of 2.00 m/s for 3.00 seconds, and then runs at a constant velocity. Runner B starts with and maintains a constant acceleration of 2.20 m/s for 4.0 seconds, and then runs at a constant velocity. a. Calculate the time when runner...
Show All work step by step. 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,...
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...
Runner Rendezvous. Two runners start simultaneously at opposite ends of a straight 200 m track and run towards each other. Runner A runs at a steady 9.00 m/s, while Runner B runs at a constant 5.00 m/s. a) Draw a diagram of this situation. Include a coordinate system in your diagram, and label the initial positions and velocities of both runners. Also estimate where the runners would meet and label it as x. b) Write equations for the position of...
In a quarter-mile drag race, two cars start simultaneously from rest, and each accelerates at a constant rate until it either reaches its maximum speed or crosses the finish line. Car A has an acceleration of 11.6 m/s2 and a maximum speed of 108 m/s. Car B has an acceleration of 11.7 m/s2 and a maximum speed of 91.0 m/s. Which car wins the race, and by how many seconds?
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...
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)...