4.2 and 8.2 Particle Motion BC

• t = 0s only

• t = 2s only

• t = 4s only

• t= 0 and 2s.

• t = 2 and 4s

A particle moves along a line so that at time t, where 0 ≤ t ≤ π, its position is given by s(t) = -4 cos t - t²/2 + 10. What is the velocity of the particle when its acceleration is zero?

• -5.19

• 0.74

• 1.32

• 2.55

• 8.13

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

CCSS.8.F.B.4

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

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.HSF.IF.B.4

• 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

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

• 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.A.2

• t = 0

• t = 2

• t = 3

• t = 6

Answer explanation

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.B.4