Question 1

If the velocity of an object is given by the function

v(t) = 3t^2 + 2t

, what is the expression for the object's acceleration?

Accepted Answer

a(t) = 6t + 2

Answer

a(t) = 6

Answer

a(t) = 3t + 2

Answer

a(t) = 3t^2

Question 2

If the position of an object is given by the function

v(t) = 3t^2 + 2t

, what is the expression for its velocity?

Accepted Answer

v(t) = 12t^2 - 1

Answer

v(t) = 4t^2 - 1

Answer

v(t) = 4t^3 + 1

Answer

v(t) = 12t - 1

Question 3

Given the acceleration function

v(t) = 3t^2 + 2t

, what is the expression for the velocity if the initial velocity

v(0)

is 2?

Accepted Answer

v(t) = rac{5}{2}t^2 - 3t + 2

Answer

v(t) = 5t^2 - 3t + 2

Answer

v(t) = 5t - 3 + 2

Answer

v(t) = rac{5}{2}t^2 - 3t

Question 4

The displacement of an object is given by the equation

v(t) = 3t^2 + 2t

. What is the object's acceleration?

Accepted Answer

a(t) = 2t + 2

Answer

a(t) = t^2 + 2t - 4

Answer

a(t) = 3t^2 + 2

Answer

a(t) = rac{1}{3}t^2 + 2t

Question 5

If the velocity of an object is given by

v(t) = 3t^2 + 2t

and the position at

v(0)

is

s(0) = 5

, what is the object's displacement function

s(t)

?

Accepted Answer

s(t) = t^2 + 3t + 5

Answer

s(t) = t^2 + 3t

Answer

s(t) = t^2 + 2t + 5

Answer

s(t) = 2t^2 + 3t + 5

Question 6

Given the velocity function

v(t) = 3t^2 + 2t

, what is the object's displacement function if the initial displacement

v(0)

is 3?

Accepted Answer

s(t) = rac{4}{3}t^3 - t^2 + t + 3

Answer

s(t) = 4t^2 - 2t + 4

Answer

s(t) = rac{4}{3}t^3 - t^2 + t

Answer

s(t) = 4t^3 - t^2 + 3t + 3

Question 7

If the acceleration of an object is given by the function

v(t) = 3t^2 + 2t

and the initial velocity

v(0)

is 3, what is the expression for the velocity?

Accepted Answer

v(t) = 3t^2 - 4t + 3

Answer

v(t) = 6t^2 - 4t + 3

Answer

v(t) = t^2 - 4t + 3

Answer

v(t) = 3t^2 - 4t

Question 8

The position of an object is described by the function

v(t) = 3t^2 + 2t

. What is the object's velocity function

v(0)

?

Accepted Answer

v(t) = 4t - 3

Answer

v(t) = 4t + 7

Answer

v(t) = -3t + 7

Answer

v(t) = 2t - 3

Question 9

If the velocity function of an object is given by

v(t) = 3t^2 + 2t

, what is the acceleration function

v(0)

?

Accepted Answer

a(t) = 3t^2 - 2

Answer

a(t) = 3t^2 - 2t

Answer

a(t) = t^2 - 2

Answer

a(t) = t^3 - 2

Question 10

Given the acceleration function

v(t) = 3t^2 + 2t

and the initial velocity

v(0)

, what is the expression for the velocity function

s(0) = 5

?

Accepted Answer

v(t) = 4t^2 - 5t + 6

Answer

v(t) = 4t^2 - 5t

Answer

v(t) = 8t^2 - 5t + 6

Answer

v(t) = 4t^2 - t + 6

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