Question

An object's velocity after t seconds is v(t) = 30 - 2t feet per second. (a) How many seconds does it take for the object to come to a stop (velocity = 0)? seconds (b) How far does the car travel during that time? feet (c) How many seconds does it take the car to travel half the distance in part (b)? seconds

          An object's velocity after t seconds is
v(t) = 30 - 2t feet per second.
(a) How many seconds does it take for the object
to come to a stop (velocity = 0)?
seconds
(b) How far does the car travel during that time?
feet
(c) How many seconds does it take the car to
travel half the distance in part (b)?
seconds

An object's velocity after t seconds is
v(t) = 30 - 2t feet per second.
(a) How many seconds does it take for the object
to come to a stop (velocity = 0)?
seconds
(b) How far does the car travel during that time?
feet
(c) How many seconds does it take the car to
travel half the distance in part (b)?
seconds

Added by Chase V.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Andrew Noble

07/27/2022

Step 1

So, we set v(t) = 0 and solve for t. However, the given function v(t) = 30 - 2t will never be equal to zero because it is a linear function with a negative slope and a positive y-intercept. Show more…

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An object's velocity after t seconds is v(t) = 30 - 2t feet per second. (a) How many seconds does it take for the object to come to a stop (velocity = 0)? (b) How far does the car travel during that time? (c) How many seconds does it take the car to travel half the distance in part (b)?