# Worksheet: Linear Motion with Integration

In this worksheet, we will practice using integration to get the average and instantaneous velocities and displacement vectors of a particle in straight-line motion.

Q1:

If the acceleration of an object is given by , find the objectβs velocity function given that the initial velocity is .

• A
• B
• C
• D
• E

Q2:

An objectβs acceleration is given by . Find the objectβs velocity function if its initial velocity is .

• A
• B
• C
• D
• E

Q3:

If the acceleration of an object is given by , find the objectβs position function given that the initial velocity is .

• A
• B
• C
• D
• E

Q4:

If the acceleration of an object is given by , find the objectβs velocity function, given that the initial velocity is .

• A
• B
• C
• D
• E

Q5:

If the velocity of an object is given by , find the objectβs position function given that the initial position is .

• A
• B
• C
• D
• E

Q6:

If the acceleration of an object is given by , find the function describing the objectβs position given that its initial position and velocity are both zero.

• A
• B
• C
• D
• E

Q7:

The velocity of an object is given by . Find the function describing the objectβs position given that .

• A
• B
• C
• D
• E

Q8:

If the acceleration of an object is given by , find the function describing the objectβs position given that its initial position is and initial velocity .

• A
• B
• C
• D
• E

Q9:

An objectβs acceleration is given by . The objectβs initial velocity is . Find the objectβs velocity function.

• A
• B
• C
• D
• E

Q10:

If the acceleration of an object is given by , find the function describing the objectβs velocity function given that its initial velocity is zero.

• A
• B
• C
• D
• E