Question

Determine when the motion is in the positive direction

Answer 1

Answer:

1 When velocity is negative, the particle is moving to the left or backwards.

2 When velocity is positive, the particle is moving to the right or forwards.

3 Or we can directly substitute v(t)=0 and calculate time when velocity is zero as we will get interval on which velocity is negative or positive

Answer 2

Answer:

Step-by-step explanation:

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Question

Asked Jun 16, 2019

I did the test points but not sure how to answer??? It’s positive when less than 3, less than 0 and greater than 7...:

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Consider an object moving along a line with the given velocity v. Assume t is time measured in seconds and velocities have units of. Complete parts a through c.

a. Determine when the motion is in the positive direction and when it is in the negative direction.

b. Find the displacement over the given interval.

c. Find the distance traveled over the given interval.

v(t) 3t2-30t +63; [0,8]

a. When is the motion in the positive direction? Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice.

O A.

For t-values that satisfy

(Use a comma to separate answers as needed. Type your answers in interval notation.)

O B. The motion is never in the positive direction

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Expert Solution

Step 1

To determine when the motion is in the positive direction and when it is in the negative direction.

v(t3t2-30t +63

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Step 2

When velocity is negative, the particle is moving to the left or backwards.

When velocity is positive, the particle is moving to the right or forwards.

Or we can directly substitute v(t)=0 and calculate time when velocity is zero as we will get interval on which velocity is negative or positive.

3t2-30t63 0

t2-10t210

12-7t 3t21=0

1(1 -7)-3(г-7) -0

(г-3)(г-7) — 0

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Step 3

According to the graph of v(t) the graph of the function is decreasing from...

(3,0)

(7,0)

10

0

-5

y3x-30x63

-10

(5, -12)