Question

A car moves along a straight line with velocity, in feet/second, given by v(t)=35-5t for t≥0....

A car moves along a straight line with velocity, in feet/second, given by

v(t)=35-5t for t≥0.



(a) With forward being the direction of positive velocity, when is the car moving forward? Backward? Stopped?

The car is moving forward for

≤t<

.
The car is moving backward for t>

.
The car is not moving at the instant t=

.

(b) Does the car ever return to its starting point? If so, when?

If the car never returns to its starting point, enter NA.

The car arrives back at its starting point when t=

.


(c) With position measured from its starting point, when is the car farthest forward? Farthest backward?

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