Calculus Ch 3 Particle Motion

If velocity is negative and acceleration is positive, then speed is ______________?

• decreasing

• increasing

• constant

• none of the above

Tags

CCSS.HSF.IF.B.4

If velocity is positive and speed is decreasing, then acceleration is ______?

• negative

• positive

• zero

• none of the above

Tags

CCSS.HSF.IF.B.4

If speed is increasing and acceleration is negative, then velocity is ___________?

• negative

• positive

• zero

• none of the above

Tags

CCSS.HSN.VM.A.1

CCSS.HSN.VM.A.3

Given the graph of the position function, which graph below shows the velocity of the function?

• 
• 
• 
• 

Tags

CCSS.8.EE.B.5

If the position function for a particle is s(t) = -t² - t, what is the instantaneous velocity function for the particle? 

• v(t) = -2
• v(t) -2t - 1 
• v(t) = t³
• v(t) = -t

The position function x(t)=t³+6t²+16t-18 is given on the interval of 0<x<9. What is the velocity at t=6?

• 197
• 190
• 18
• 196

Tags

CCSS.HSF.LE.B.5

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

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.8.F.B.4

CCSS.HSF.IF.B.6

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