Particle Motion for the AP Exam

• t = 0

• t = 2

• t = 3

• t = 6

Answer explanation

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.B.4

• Speeding up b/c v(2) and a(2) have the same signs

• Speeding up b/c v(2) and a(2) have the opposite signs

• Slowing down up b/c v(2) and a(2) have the same signs

• Slowing down b/c v(2) and a(2) have opposite signs signs

Answer explanation

Tags

CCSS.HSF.IF.B.4

Given Particle A at t=2 has a position of 2, a velocity of -3, and an acceleration of 4, Which of the following Particles would be APPROACHING particle A (both particle A and the other particle are headed toward each other)?

• Particle B, s(2) = 3, v(2) = -4, a(2) = 4

• Particle C, s(2) = 5, v(2) = 4, a(2) = -4

• Particle D, s(2)=-2, v(2)=-5, a(2)=3

• Particle E, s(2)=-4, v(2) = 6, a(2) = 1

Answer explanation

Given the graph of velocity of a particle, which of the following would be a negative value?

• The total distance traveled of the particle from t=4 to t=7

• The displacement of the particle from t=2 to t=7

• The speed of the particle at t=7

• The acceleration of the particle at t=5

Answer explanation

Tags

CCSS.HSF.IF.B.4

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

• -24

• 12

• 44

Answer explanation

Tags

CCSS.HSA.APR.A.1

• 0.713

• 1.134

• 11.710

• 6.134

Answer explanation

Tags

CCSS.HSF.IF.B.6

CCSS.HSA.CED.A.1

CCSS.HSA.SSE.A.1

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

• 2

• 4

• 6

• 8

Answer explanation

Tags

CCSS.HSF.IF.B.6

CCSS.8.F.B.4

• -2.198 

• -0.550 

• 1.084

• 4.335

Answer explanation

Tags

CCSS.HSF.IF.B.6

CCSS.HSF.IF.A.2

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

Which of the following determines speed?

• a(t)

• x'(t)

• v(t)

• |v(t)|

Tags

CCSS.HSF.LE.B.5