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You are walking a dog when the dog sees a cat and starts to run away from you. Y

ID: 1882473 • Letter: Y

Question

You are walking a dog when the dog sees a cat and starts to run away from you. You run after him and jump at an angle of 35.0° with speed 5.50 m/s to try and catch the dog. While you are in the air the dog is able to move a distance of 1.48 m. If you are able to land on the dog, how fast must the dog have been running if it was running at a constant speed in a straight line?

Airplane mode off You got one or more questions wrong, would you like to view an animated solution to a similar question? Due date: Due this Wednesday. Sep 26 at 11:59 pm (EDT) Attempts remaining: 6 Question 1 You are trying to climb a castle wall so, from the ground, you throw a hook with a rope attached to it at 24.9 m/s at an angle of 62.0° above the horizontal. If it hits the top of the wall at a speed of 12.4 m/s, how high is the wall? Question 2 You are walking a dog when the dog sees a cat and starts to run away from you. You run after him and jump at an angle of 35.0° with speed 5.50 m/s to try and catch the dog. While you are in the air the dog is able to move a distance of 1.48 m. If you are able to land on the dog, how fast must the dog have been running if it was running at a constant speed in a straight line? Click "Submit Answer" below to submit both of your answers. Submit Answer Tries 4/10 This discussion is closed Send Feedback Search Windows

Explanation / Answer

Here ,

let the speed of dog is v

total distance jumped by person , R = u^2 * sin(2 * theta)/g

R = 5.5^2 * sin(2*35)/9.8

R = 2.90 m

time of flight , t = 2 * u * sin(theta)/g

t = 2 * 5.5 * sin(35)/9.8

t = 0.65 s

NOw, distance moved by dog = 2.9 - 1.48 = 1.42 m

speed of the dog = 1.42/0.65 = 2.19 m/s

the speed of the dog is 2.19 m/s

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