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1. starting from rest, a boat increases its speed to 4.12m/swith constant accele

ID: 1759762 • Letter: 1

Question

1. starting from rest, a boat increases its speed to 4.12m/swith constant acceleration. (a) what is the boat's average speed?(b) if it takes 4.77s to reach this speed, how far has ittraveled? 2. a child slides down a hill on a toboggan with anacceleration of 1.8m/s2. if she starts at rest, how farhas she traveled in (a) 1.0s, (b) 2.0s, (c) 3.0s? 3. on october 9,1992, a 27-pound meteorite struck a car inpeekskill,NY, leaving a dent 22cm deep in the trunk. if themeteorite struck the car with a speed of 130m/s, what was themagnitude of its deceleration, assuming it to be constant? 1. starting from rest, a boat increases its speed to 4.12m/swith constant acceleration. (a) what is the boat's average speed?(b) if it takes 4.77s to reach this speed, how far has ittraveled? 2. a child slides down a hill on a toboggan with anacceleration of 1.8m/s2. if she starts at rest, how farhas she traveled in (a) 1.0s, (b) 2.0s, (c) 3.0s? 3. on october 9,1992, a 27-pound meteorite struck a car inpeekskill,NY, leaving a dent 22cm deep in the trunk. if themeteorite struck the car with a speed of 130m/s, what was themagnitude of its deceleration, assuming it to be constant?

Explanation / Answer

1) intial velocity of boat = 0m/s final speed = 4.12m/s travelld distance s = vt/2   ( from kinematiceq )        a)speed = s/t =-------- b)the distance travelled = s = --------m    2) accleration = 1.8m/s2 at time t = 1.0s , u = 0 distance travelled = s= ut+1/2at2                         = 1/2 *1.8 *(1.0)2 = 0.9m t = 2.0s   then same as a bove = 1/2*1.8 *(2)2 = 3.6m at time t = 1.0s , u = 0 distance travelled = s= ut+1/2at2                         = 1/2 *1.8 *(1.0)2 = 0.9m t = 2.0s   then same as a bove = 1/2*1.8 *(2)2 = 3.6m
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