Question Find the time $t$ when the velocity $v(t)$ is equal to 3, given the velocity function $v(t)=-10t+11$ .

Studdy Solution

STEP 1

Assumptions1. The given function is $v(t)=-10 t+11$ . We need to find the value of $t$ when $v(t)=3$

STEP 2

We set the given function equal to and solve for $t$ .
$v(t) =$ $-10 t +11 =$

STEP 3

Subtract11 from both sides of the equation to isolate the term with $t$ .
$-10 t =3 -11$

STEP 4

Calculate the right side of the equation.
$-10 t = -8$

STEP 5

Divide both sides of the equation by -10 to solve for $t$ .
$t = \frac{-8}{-10}$

STEP 6

implify the right side of the equation to find the value of $t$ .
$t =0.8$ The value of $t$ when $v(t)=3$ is $0.8$ .

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Question Find the time $t$ when the velocity $v(t)$ is equal to 3, given the velocity function $v(t)=-10t+11$ .

Studdy Solution

STEP 1

Assumptions1. The given function is $v(t)=-10 t+11$ . We need to find the value of $t$ when $v(t)=3$

STEP 2

We set the given function equal to and solve for $t$ .
$v(t) =$ $-10 t +11 =$

STEP 3

Subtract11 from both sides of the equation to isolate the term with $t$ .
$-10 t =3 -11$

STEP 4

Calculate the right side of the equation.
$-10 t = -8$

STEP 5

Divide both sides of the equation by -10 to solve for $t$ .
$t = \frac{-8}{-10}$

STEP 6

implify the right side of the equation to find the value of $t$ .
$t =0.8$ The value of $t$ when $v(t)=3$ is $0.8$ .

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Question Find the time ttt when the velocity v(t)v(t)v(t) is equal to 3, given the velocity function v(t)=−10t+11v(t)=-10t+11v(t)=−10t+11.

Studdy Solution

STEP 1

Assumptions1. The given function is v(t)=−10t+11v(t)=-10 t+11v(t)=−10t+11 . We need to find the value of ttt when v(t)=3v(t)=3v(t)=3

STEP 2

We set the given function equal to and solve for ttt.v(t)=v(t) =v(t)=−10t+11=-10 t +11 =−10t+11=

STEP 3

Subtract11 from both sides of the equation to isolate the term with ttt.−10t=3−11-10 t =3 -11−10t=3−11

STEP 4

Calculate the right side of the equation.−10t=−8-10 t = -8−10t=−8

STEP 5

Divide both sides of the equation by -10 to solve for ttt.t=−8−10t = \frac{-8}{-10}t=−10−8​

STEP 6

implify the right side of the equation to find the value of ttt.t=0.8t =0.8t=0.8The value of ttt when v(t)=3v(t)=3v(t)=3 is 0.80.80.8.

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Question Find the time $t$ when the velocity $v(t)$ is equal to 3, given the velocity function $v(t)=-10t+11$ .

Assumptions1. The given function is $v(t)=-10 t+11$ . We need to find the value of $t$ when $v(t)=3$

We set the given function equal to and solve for $t$ .
$v(t) =$ $-10 t +11 =$

Subtract11 from both sides of the equation to isolate the term with $t$ .
$-10 t =3 -11$

Calculate the right side of the equation.
$-10 t = -8$

Divide both sides of the equation by -10 to solve for $t$ .
$t = \frac{-8}{-10}$

implify the right side of the equation to find the value of $t$ .
$t =0.8$ The value of $t$ when $v(t)=3$ is $0.8$ .