Consider a body that starts from rest and accelerates uniformly until it reaches a maximum speed, then maintains this speed for a certain time, finally, it begins to brake uniformly until it reaches rest again. This type of movement can be classified by three consecutive movements. If we assume that the movement oEcurs on the positive horizontal "x" axis, when graphing the change in the horizontal position with respect to time, we would obtain graphs with the following trends respectively: a) First concave upwards, second linear with negative slope and third concave downwards. b) First concave upwards, second linear with positive slope and third concave downwards. ) First concave downwards, second linear with positive slope and third concave upwards. d) First concave upwards, second linear with zero slope and third concave downwards.

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Chapter1: Units, Trigonometry. And Vectors
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Consider a bedy that starts from rest and accelerates uniformly until it reaches a maximum speed, then
maintains this speed for a certain time, finally, it begins to brake uniformly until it reaches rest again.
This type of movement can be classified by three consecutive movements. If we assume that the
movement ocurs on the positive horizontal "x" axis, when graphing the change in the horizontal
position with respect to time, we would obtain graphs with the following trends respectively:
a) First concave upwards, second linear with negative slope and third concave downwards.
b) First concave upwards, second linear with positive slope and third concave downwards.
) First concave downwards, second linear with positive slope and third concave upwards.
d) First concave upwards, second linear with zero slope and third concave downwards.
Transcribed Image Text:Consider a bedy that starts from rest and accelerates uniformly until it reaches a maximum speed, then maintains this speed for a certain time, finally, it begins to brake uniformly until it reaches rest again. This type of movement can be classified by three consecutive movements. If we assume that the movement ocurs on the positive horizontal "x" axis, when graphing the change in the horizontal position with respect to time, we would obtain graphs with the following trends respectively: a) First concave upwards, second linear with negative slope and third concave downwards. b) First concave upwards, second linear with positive slope and third concave downwards. ) First concave downwards, second linear with positive slope and third concave upwards. d) First concave upwards, second linear with zero slope and third concave downwards.
Expert Solution
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The body starts from rest and accelerates until reaches the maximum speed so the distance travelled will increases till the maximum speed achieved hence the curve will go up exponentially concave-up

after achieving maximum speed the speed is maintained to a constant so the curve will be linear and the slope will   be positive

then begins braking uniformly means a negative acceleration so the speed will decrease uniformly hence the distance time curve will be a concave down curve.

 

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