Particle Motion Unit 4 AP Calculus

What is velocity?

• the quickness of an object
• the location of an object
• acceleration
• speed in a specific direction

Tags

CCSS.HSN.VM.A.1

CCSS.HSN.VM.A.3

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

Tags

CCSS.HSN.VM.A.3

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

Tags

CCSS.HSF.IF.A.2

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

• 2
• 4
• 6
• 8

Tags

CCSS.HSF.IF.B.6

v (t) > 0 means

• the particle is moving to the right

• the particle is speeding up

• the particle has positive position

• the particle is at rest

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

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

Tags

CCSS.HSN.VM.A.3

Which is true for the graph of velocity of an object?

• The object is speeding up for parts A, B, and C

• The object is speeding up in parts D and E

• The object is speeding up in parts A and D.

• The object is stopped or at rest in part B

Tags

CCSS.HSA.REI.D.10

CCSS.HSS.ID.C.7

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

CCSS.HSF.IF.C.7

CCSS.HSS.ID.C.7

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

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSS.ID.C.7