1. A dog and a cat ran a race of distance 30 km. In the trail for the race, the dog had an average speed of 2.5 ms and maintained that speed for the race. The cat takes 10 s to reach a speed of 15 ms and keeps that speed for 20 s, takes 10 s to come to a rest. It then rests for 5 s to catch his breath before then running again. b. Sketch a velocity-time graph for the cat's 1st period c. Determine the cat's average speed over the distance, assuming it continues the races by running and stopping d. Determine where the dog would be when the cat wins

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I need help with number 1 part a, b and c

and number 2 part (i), (ii) and (iii)

1. A dog and a cat ran a race of distance 30 km. In the trail for the
race,
the dog
had an average speed of 2.5 ms and maintained that speed for the race. The
cat takes 10 s to reach a speed of 15 ms and keeps that speed for 20 s, then
takes 10 s to come to a rest. It then rests for 5 s to catch his breath before
running again.
b. Sketch a velocity-time graph for the cat's 1st period
c. Determine the cat's average speed over the distance, assuming it continues
the races by running and stopping
d. Determine where the dog would be when the cat wins
Transcribed Image Text:1. A dog and a cat ran a race of distance 30 km. In the trail for the race, the dog had an average speed of 2.5 ms and maintained that speed for the race. The cat takes 10 s to reach a speed of 15 ms and keeps that speed for 20 s, then takes 10 s to come to a rest. It then rests for 5 s to catch his breath before running again. b. Sketch a velocity-time graph for the cat's 1st period c. Determine the cat's average speed over the distance, assuming it continues the races by running and stopping d. Determine where the dog would be when the cat wins
2.
An engineer at NASA is investigating the impact of meteorites on planets.
He performs experiments in a vacuum by dropping metal spheres of different
sizes and different heights above a horizontal bed of sand. In one experiment, a
metal sphere of mass 0-1 kg is dropped from a height of 1-2 m. The sphere makes :
depression in the sand of 2 cm.
gravitational field strength, g = 10 Nkg"'
i) Calculate the potential energy of the sphere at a height of 1-2 m.
ii) Calculate the velocity of the sphere just before hitting the surface of the sand.
iii) Calculate the average retarding force acting on the sphere as it comes to rest in
the sand.
Transcribed Image Text:2. An engineer at NASA is investigating the impact of meteorites on planets. He performs experiments in a vacuum by dropping metal spheres of different sizes and different heights above a horizontal bed of sand. In one experiment, a metal sphere of mass 0-1 kg is dropped from a height of 1-2 m. The sphere makes : depression in the sand of 2 cm. gravitational field strength, g = 10 Nkg"' i) Calculate the potential energy of the sphere at a height of 1-2 m. ii) Calculate the velocity of the sphere just before hitting the surface of the sand. iii) Calculate the average retarding force acting on the sphere as it comes to rest in the sand.
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