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

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

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

Tags

CCSS.HSF.LE.B.5

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.

Tags

CCSS.HSF.IF.B.4

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.

Tags

CCSS.HSF.IF.B.4

• t = 0
• t = 2
• t = 3
• t = 6

• A only
• A and B
• A and C
• D

Tags

CCSS.HSF.IF.B.4

• A
• B
• C
• D

• -2.198 
• -0.550 
• 1.084
• 4.335