AP Calc HW #84 (after 6.2)

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

• Velocity = 0
• Velocity = 1
• Velocity = -1
• Velocity = -2

The acceleration function is the first derivative of...

• position
• velocity
• calculus
• particle motion

The position function x(t)=7t²-18t-7 is given. What is the velocity function?

• v(t)=14t-18
• v(t)=14t+18
• v(t)=18t-14
• v(t)=18t+14
  

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

CCSS.HSF.BF.A.1

Given x(t)=t³-4t²+7, what is the initial position?

• 11
• -10
• 7
• 0

Tags

CCSS.HSA.SSE.A.1

A particle's speed is decreasing if

• it's acceleration is positive
• it's velocity is positive
• it's velocity and acceleration have the same sign
• it's velocity and acceleration have different signs

Tags

CCSS.HSN.VM.A.3

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

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.HSF.IF.B.6

CCSS.8.F.B.4

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

• 2
• 4
• 6
• 8

Tags

CCSS.HSF.IF.B.6

CCSS.8.F.B.4

What is the total distance of the object represented in this motion graph?

• 0 meters
• 300 meters
• 450 meters
• 600 meters

Tags

CCSS.HSF.IF.B.4

What is the total displacement of the object represented in this motion graph?

• 0 meters
• 300 meters
• 450 meters
• 600 meters

Tags

CCSS.HSF.IF.B.6

CCSS.8.F.B.4