select the correct answer. this is a velocity versus time graph of a car starting from rest. if the area…

select the correct answer. this is a velocity versus time graph of a car starting from rest. if the area under the line is 10 meters, what is the corresponding time interval? a. 2 seconds b. 4 seconds c. 5 seconds d. 10 seconds e. 15 seconds

select the correct answer. this is a velocity versus time graph of a car starting from rest. if the area under the line is 10 meters, what is the corresponding time interval? a. 2 seconds b. 4 seconds c. 5 seconds d. 10 seconds e. 15 seconds

Answer

Explanation:

Step1: Recall area - formula for triangle

The area $A$ of a triangle is $A=\frac{1}{2}bh$, where $b$ is the base (time interval $t$) and $h$ is the height (final velocity $v$). Here, $v = 2.0$ m/s and $A=10$ m.

Step2: Rearrange the formula to solve for $t$

Starting from $A=\frac{1}{2}vt$, we can solve for $t$. Multiply both sides of the equation by $2$ to get $2A = vt$. Then $t=\frac{2A}{v}$.

Step3: Substitute values

Substitute $A = 10$ m and $v=2.0$ m/s into the formula $t=\frac{2A}{v}$. So $t=\frac{2\times10}{2}=10$ s.

Answer:

D. 10 seconds