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, what does the sign of $\int_{0}^{f_{3}} v(t) d t$ mean physically?
A)The rocket came to rest somewhere above the ground.
B)The rocket came to rest somewhere below the ground.
C)The rocket was accelerating when it hit the ground.
D)The rocket was decelerating when it hit the ground.

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, what does the sign of $\int_{0}^{f_{3}} v(t) d t$ mean physically?
A)The rocket came to rest somewhere above the ground. 
B)The rocket came to rest somewhere below the ground. 
C)The rocket was accelerating when it hit the ground. 
D)The rocket was decelerating when it hit the ground.

Quizplus · Accepted Answer

The Answer of 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, what does the sign of $\int_{0}^{f_{3}} v(t) d t$ mean physically?
A)The rocket came to rest somewhere above the ground. 
B)The rocket came to rest somewhere below the ground. 
C)The rocket was accelerating when it hit the ground. 
D)The rocket was decelerating when it hit the ground.

A Young Girl Who Aspires to Be a Rocket Scientist ∫0f3v(t)dt\int_{0}^{f_{3}} v(t) d t∫0f3​​v(t)dt

A Young Girl Who Aspires to Be a Rocket Scientist $\int_{0}^{f_{3}} v(t) d t$