calc_tutorial_13_5_017

Problem Statement

{3,5,7,8}

{2,4,6,9}

round(pow(3,2)/2,2)

round(pow(2,2)/2,2)

4.50+2.00

Find r(t) and v(t) given a(t) and the initial velocity and position.

a(t) = tk, v(0) = 8i, r(0) = 6j

Step 1

Question Sequence

Question 1

Given a(t), recall how to find the velocity and position vectors.

Using a(t) = tk, find v(t).

A.

B.

C.

D.

Correct.

Incorrect.

Step 2

Question Sequence

Question 2

Substitute the initial condition, v(0) = 3i, to solve for v₀.

v₀ = i

Thus,

v(t) =

A.

B.

C.

D.

Correct.

Incorrect.

Step 3

Question Sequence

Question 3

Using v(t) found in Step 2, find r(t).

A.

B.

C.

D.

Correct.

Incorrect.

Step 4

Question Sequence

Question 4

Substitute the initial condition, r(0) = 2j, to solve for r₀.

r₀ = j

Thus,

r(t) =

A.

B.

C.

D.

Correct.

Incorrect.