A young girl who aspires to be a rocket scientist launches a model rocket from the ground at time t = 0.The rocket travels straight up in the air, and the following graph shows the upward velocity of the rocket as a function of time: Let v(t)be the function that gives the velocity of the rocket at time t.From the graph of the rocket's velocity, which of the following is larger?
A) $\left|\int_{0}^{t_{2}} v(t) d t\right|$
B) $\left|\int_{t_{2}}^{t_{3}} v(t) d t\right|$

Question

A young girl who aspires to be a rocket scientist launches a model rocket from the ground at time t = 0.The rocket travels straight up in the air, and the following graph shows the upward velocity of the rocket as a function of time:  Let v(t)be the function that gives the velocity of the rocket at time t.From the graph of the rocket's velocity, which of the following is larger?
A) $\left|\int_{0}^{t_{2}} v(t) d t\right|$ 
B) $\left|\int_{t_{2}}^{t_{3}} v(t) d t\right|$

Quizplus · Accepted Answer

The Answer is A

A Young Girl Who Aspires to Be a Rocket Scientist ∣∫0t2v(t)dt∣\left|\int_{0}^{t_{2}} v(t) d t\right|​∫0t2​​v(t)dt​

A Young Girl Who Aspires to Be a Rocket Scientist $\left|\int_{0}^{t_{2}} v(t) d t\right|$