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A hare and a tortoise compete in a race over a straight course 1.00 km long. The tortoise crawls at a speed of 0.200 m/s toward the finish line. The hare runs at a speed of 8.00 m/s toward the finish line for 0.800 km and then stops to tease the slow-moving tortoise as the tortoise eventually passes by. The hare waits for a while after the tortoise passes and then runs toward the finish line again at 8.00 m/s. Both the hare and the tortoise cross the finish line at the exact same instant. Assume both animals, when moving, move steadily at their respective speeds. (a) How far is the tortoise from the finish line when the hare resumes the race? (b) For how long in time was the hare stationary?
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Principles of Physics: A Calculus-Based Text, Hybrid (with Enhanced WebAssign Printed Access Card)
- A hare and a tortoise compete in a race over a straight course 1.00 km long. Thetortoise crawls at a speed of 0.200 m/s toward the finish line. The hare runs at a speedof 8.00 m/s toward the Finish line for 0.800 km and then stops to tease the slowmoving tortoise as the tortoise eventually passes by. The hare waits for a while afterthe tortoise passes and then runs toward the finish line again at 8.00 m/s. Both thehare and the tortoise cross the finish line at the exact same instant. Assume bothanimals, when moving, move steadily at their respective speeds. (a) How far is thetortoise from the finish line when the hare resumes the racer (b) For how long in timewas the hare stationary?arrow_forwardA cat is sleeping on the floor in the middle of a 3.0 m wide room when a barking dog enters with a speed of 1.50 m/s. As the dog enters, the cat immediately accelerates at 0.85 m/s2 toward an open window on the opposite side of the room. The dog is a bit startled by the cat and begins to slow down at 0.10 m/s2 as soon as it enters the room. How far is the cat in front of the dog as it leaps through the window?arrow_forwarda cheetah and a gazelle are both stopped. The gazelle runs and accelerates so that it reaches a velocity of 20 m/s after 100m, then runs at a constant velocity of 20 m/s. The cheetah waits 3 seconds and accelerates at 2.5 m/s to reach a final velocity of 22 m/s and then travels down the road at 22 m/s. When does the cheetah catch the gazelle? How far do they travel?arrow_forward
- Gretchen runs the first 4.0 km of a race at 6.0 m/s. Then a stiff wind comes up, so she runs the last 1.0 km at only 5.0 m/s .arrow_forwardA horse is running across a field. The horse accelerates at 2.00 m/s2 over a distance of 6.70 m. It runs until its speed is 17.6 m/s and continues at this speed. What was the horse's initial speed?arrow_forwardWyle E. Coyote hears a constant “Beep! Beep!” from around the corner of a cliff. Thinking it might be the Road Runner, he scampers up to speed and runs towards the sound to the East. On coming around the corner, he sees that it is not the Road Runner, but a truck coming towards him towards the West. The speed of the truck is 25 m/s. The speed of the Coyote is 100 m/s. The Coyote hears a frequency of 5500 Hz. The temperature of the air is 300 K. The mass of the truck is 1500 kg. The mass of the Coyote is 90 kg. Assume the air is an ideal gas with γ = 1.40 and the air molecules have a mass of 4.8*10-26 kg. The Boltzmann constant is k = 1.38*10-23 J/K. a. What is the speed of sound in this air? b. What is the original frequency of the horn on the truck? c. Assuming a perfectly inelastic collision, what is the final speed and direction of the truck, Coyote conglomerate (ignore any friction with the road)?arrow_forward
- A car traveling in a straight line with an initial velocity of 34 m/s accelerates at a rate of 2.0 m/s2 to a velocity of 58 m/s. What is the distance covered by the car in this process?arrow_forwarda man walks south at a speed of 2.00m / s for 15.0 minutes. then he turns and walks north at a distance of 2000m in 15.00 minutes. What is the average speed of the man during his entire movement?arrow_forwardTo help travelers get around the airport, a shuttle was built between two terminals. Starting from rest, the shuttle accelerates at 0.447 m/s2 for 37.1 s, cruises at this constent velocity for 62.5 s, and then deaccelerates at -0.275 m/s2 until it comes to a stop. What is the distance between the terminals?arrow_forward
- Julietta and Jackson are playing miniature golf. Julietta's ball rolls into a long. straight upward incline with a speed of 2.95 m/s and accelerates at -0.876 m/s/s for 1.54 seconds until it reaches the top of the incline and then continues along an elevated section. Determine the length of the incline.arrow_forwardA straight running track is 2400 m long. A runner starts from the start line of the track, runs to the end line, and immediately turns back to run back to the starting point. After running for a total of 30 minutes, the runner was able to complete one whole round trip and is now halfway through the track on his second trip towards the end line. What was the runner's average speed in m/s? Answer:arrow_forwardThe polar bear is an excellent swimmer, and it spends a large part of its time in the water.Suppose a polar bear wants to swim from an ice floe to a particular point on the shore. The bear dives into the water and begins swimming. As the bear swims, it tires and slows at a rate of 0.0122 m/s/s. By the time it reaches the shore, which is 40.1 m from where it dove into the water, its velocity is 2.13 m/s.How fast was the bear swimming when it first got into the water?arrow_forward
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