Particle motion

If the position of a particle is represented by x(t) = -t² + 1, what is its instantaneous velocity at t = 1?  

• v = 0
• v = 1
• v = -1
• v = -2

The position of an object is given as a function of time by x = 3t² + 5t³ - 2t
What is the acceleration of the object at time t = 2 s?

• 64 m/s/s
• 60 m/s/s
• 66 m/s/s
• 70 m/s/s

s(t) = t² - 20
Find the average velocity from t = 3 to t = 5.

• 2
• 4
• 6
• 8

v(t)>0 means

• the particle is moving to the right
• the particle is moving to the left
• the particle has positive position
• the particle is at rest

The acceleration function is the first derivative of...

• position
• velocity
• calculus
• particle motion

Which of the following can be used to determine when a particle is at rest?

• x(t)=0
• v(t)=0
• a(t)=0

Part A of the graph is from 0s to 25s. Which of these statements is true about Part A?

• The object is at rest.

• The object is accelerating (its velocity is increasing)

• The object is decelerating (its velocity is decreasing)

• The object is moving at a constant velocity.

What does a flat (horizontal) line on a velocity-time graph mean?

[Example section B on this graph]

• The object is not moving.

• The object is moving, but at a constant velocity.

• The object is accelerating, and its acceleration is positive.

• The object is accelerating, and its acceleration is negative.

You can calculate the slope of a velocity-time graph.

If you calculate the slope of the graph between two points, what would that tell you?

• The velocity of the object.

• The distance travelled by the object.

• The acceleration of the object.

• The mass of the object

An objects distance from its starting point at time t is given by the equation
s(t) = t³ - 6t²  - 4. 
What is the speed of the object when its acceleration is 0? 

• 2

• 12

• -12

• 44