An automobile, initially at rest, begins to move along a straight track. The velocity increases steadily until suddenly the driver sees a concrete barrier in the road and applies the brakes sharply at time to. The car decelerates rapidly, but it is too late the car crashes into the barrier at time tį and instantaneously comes to rest. Sketch a position versus time curve that might represent the motion of the car. Indicate how characteristics of your curve correspond to the events of this scenario.

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An automobile, initially at rest, begins to move along a straight track.
The velocity increases steadily until suddenly the driver sees a concrete
barrier in the road and applies the brakes sharply at time to. The car
decelerates rapidly, but it is too late - the car crashes into the barrier
at time ti and instantaneously comes to rest.
Sketch a position versus time curve that might represent the motion of
the car. Indicate how characteristics of your curve correspond to the
events of this scenario.
NOTE: Drag the points to sketch the curve.
to
time
From time 0 to to the velocity of the car Choose onev
so the slope of the curve in that interval Choose onev
From time to to ti the velocity of the car Choose onev
so the slope of the curve in that interval Choose onev
At time ti the velocity Choose onev
so there is a Choose onev bend in the curve at that point.
position
Transcribed Image Text:An automobile, initially at rest, begins to move along a straight track. The velocity increases steadily until suddenly the driver sees a concrete barrier in the road and applies the brakes sharply at time to. The car decelerates rapidly, but it is too late - the car crashes into the barrier at time ti and instantaneously comes to rest. Sketch a position versus time curve that might represent the motion of the car. Indicate how characteristics of your curve correspond to the events of this scenario. NOTE: Drag the points to sketch the curve. to time From time 0 to to the velocity of the car Choose onev so the slope of the curve in that interval Choose onev From time to to ti the velocity of the car Choose onev so the slope of the curve in that interval Choose onev At time ti the velocity Choose onev so there is a Choose onev bend in the curve at that point. position
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