Please I want you to check my answers to this quetion

[XBOX999]

Note* the graph is in the attachment

Two cars, A and B, start side by side and accelerate from rest. The figure shows the graphs of their velocity functions and a = 5.
(a) Which car is ahead after five minutes?

1
car B
neither I think Car A
car A

Explain.

2
a)The area under curve A is equal to the area under curve B. I think b)
b)The area under curve A is greater than the area under curve B.
c)The area under curve B is greater than the area under curve A.

(b) What is the meaning of the area of the shaded region?

3
a)It is the distance by which A is ahead of B after 5 minutes.
b)It is the distance by which B is ahead of A after 5 minutes. I think a)
c)It is how much faster A is traveling than B after 5 minutes.
d)It is how much faster B is traveling than A after 5 minutes.

(c) Which car is ahead after ten minutes?

4
neither
car A I think Car A
car B

Explain.

5
a)The area under curve A is greater than the area under curve B. I think a)
b)The area under curve B is greater than the area under curve A.
c)The area under curve A is equal to the area under curve B.

(d) Estimate the time t at which the cars are again side by side.
t =
I think t= 2.2
min

 

[Deleted member 4993]

Note* the graph is in the attachment

Two cars, A and B, start side by side and accelerate from rest. The figure shows the graphs of their velocity functions and a = 5.
(a) Which car is ahead after five minutes?

1
car B
neither I think Car A <<<< Correct - but why?
car A

Explain.

2
a)The area under curve A is equal to the area under curve B. I think b) <<< Correct if t ? 5
b)The area under curve A is greater than the area under curve B.
c)The area under curve B is greater than the area under curve A.

(b) What is the meaning of the area of the shaded region?

3
a)It is the distance by which A is ahead of B after 5 minutes.
b)It is the distance by which B is ahead of A after 5 minutes. I think a) <<< Correct
c)It is how much faster A is traveling than B after 5 minutes.
d)It is how much faster B is traveling than A after 5 minutes.

(c) Which car is ahead after ten minutes?

4
neither
car A I think Car A <<< Incorrect
car B

 

[BigGlenntheHeavy]

\(\displaystyle Since \ velocity \ V(t), \ is \ the \ derivative \ of \ distance, \ S(t), \ then \ S(t) = \int V(t).}\)

\(\displaystyle Ergo, \ at \ the \ above \ chart \ of \ velocity, \ distance \ can \ be \ measured \ by \ the \ blocks \ under \ its \ graph}.\)

\(\displaystyle Hence, \ at \ a, \ car \ A \ has \ gone \ a \ distance \ of \ about \ 7 \ blocks, \ while \ car \ B \ has \ gone \ 5 \ blocks.}\)