# Worksheet: Acceleration Vectors

In this worksheet, we will practice calculating the resultant vector of multiple linear accelerations that are at angles to each other.

Q1:

A spaceship is traveling at a constant velocity when its rockets fire, giving it an acceleration . What is the spaceshipβs velocity 5.00 s after the rockets fire?

• A m/s
• B m/s
• C m/s
• D m/s
• E m/s

Q2:

The position of a particle is given by .

What is the velocity of the particle at 0.0 s?

What is the velocity of the particle at 1.0 s?

• A m/s
• B m/s
• C m/s
• D m/s
• E m/s

What is the average velocity of the particle between 0.0 s and 1.0 s?

• A m/s
• B m/s
• C m/s
• D m/s
• E m/s

Q3:

A particle accelerates uniformly. At the time s the particle has a velocity m/s. At s, the particle has a velocity m/s. What is the acceleration of the particle?

• A m/s2
• B m/s2
• C m/s2
• D m/s2
• E m/s2

Q4:

The displacement of a particle is given by m.

What is the velocity of the particle at ?

• A m/s
• B m/s
• C m/s
• D m/s
• E m/s

What is the acceleration of the particle at ?

• A m/s2
• B m/s2
• C m/s2
• D m/s2
• E m/s2

Q5:

A particle has the position function m. What is the acceleration vector of the particle?

• A m/s2
• B m/s2
• C m/s2
• D m/s2
• E m/s2

Q6:

A particle has a velocity given by .

What is the particleβs acceleration vector at ?

• A m/s2
• B m/s2
• C m/s2
• D m/s2
• E m/s2

What is the magnitude of the particleβs acceleration at ?

Q7:

At the instant , a skier is skiing with an acceleration of 2.1 m/s2 downward along a slope angled below the horizontal, as shown in the diagram. The skierβs initial position vector is and his initial velocity vector is .

At the instant , what is the skierβs displacement vector from the point that they occupied at ?

• A m
• B m
• C m
• D m
• E m

What is the skierβs velocity vector at the instant ?

• A m/s
• B m/s
• C m/s
• D m/s
• E m/s