Fractions and Decimals

Discrete Mathematics

Differential Equations

Solved on Oct 30, 2023

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

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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