If the sprinter from the previous problem accelerates at that rate for 20.00 m and then maintains that velocity for the remainder of a 100.00-m dash, what will her time be for the race?
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- In a women’s 100-m race, accelerating uniformly, Laura takes 2.00 s and Healan 3.00 s to attain their maximum speeds, which they each maintain for the rest of the race. They cross the finish line simultaneously, both setting aworld record of 10.4 s. (a) What is the acceleration of each sprinter? (b) What are their respective maximum speeds? (c) Which sprinter is ahead at the 6.00-s mark, and by how much? (d) What is the maximum distance by which Healan is behind Laura, and at what time does that occur?An unwary football player collides with a padded goalpost while running at a velocity of 6.50 m/s and comes to a full stop after compressing the padding and his body 0.350 m.( a) How long does the collision last? (b) What is his deceleration?Two sprinters run a 100 m dash, with the winner fin ishing in 10.0 s. If the other runner was 1.00 m behind the winner at the finish, how long did it take her to run the 100 m?
- A pontoon bost approaches a low bridge 100 m ahead at a velocity of 34.5 m/s. The pilot reduces the throttle, slowing the boat with a constant acceleration of -2.80 m/s². (a) How long (in s) does it take the boat to reach the bridge? (b) What is the velocity (in m/s) of the boat when it reaches the bridge? (Indicate the direction with the sign of your answer.) m/sA sprinter starts from rest and accelerates to her maximum speed of 11.0 m/s in a distance of 9.7 m. (a) What was her acceleration? (b) If this maximum speed is maintained for another 89.1 m, how long does it take her to run 98.8 m?A car, initially at rest, accelerates at 3.45 m/s2 for 10.9 s. How far did in go in this time?
- In the problem above, how long will this acceleration take if the car also climbs a 3.00-mhigh hill in the process?As in the previous problem, calculate the acceleration for a human who takes 2.25-s to reach a top speed of 13.8 m/s.A bicyclist is finishing his repair of a flat tire when a friend ridesby with a constant speed of 3.5 m>s. Two seconds later the bicyclisthops on his bike and accelerates at 2.4 m>s2 until he catches hisfriend. (a) How much time does it take until he catches his friend?(b) How far has he traveled in this time? (c) What is his speedwhen he catches up?
- Homework Problem In a 100-m race, Henry and Ben cross the finish line in a dead heat, both taking 10.2s. Accelerating uniformly, Ben took 2.00 s and Henry 3.00 s to attain maximum speed, which they maintained for the rest of the race. (a) What was the acceleration of each sprinter? (b) What were their respective maximum speeds? (c) Which sprinter was ahead at the 6.00-s mark, and by how much? Question Some of these numbers are not making sense on the homework guide. On part A, how is the acceleration 3.968m/s^2 for Henry?A Fast Pitch. The fastest measured pitched baseball left the pitcher's hand at a speed of 45.0 m/s. If the pitcher was in contact with the ball over a distance of 1.50 m and produced con- stant acceleration, (a) what acceleration did he give the ball, and (b) how much time did it take him to pitch it?In a relay, a runner catches a baton at a running speed of 2 m/s and accelerates to 1.5 m/s2 thereafter. What distance does he cover after 3s?