Particle Motion

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 (t)= 3t² + 5t³ - 2t

What is the acceleration of the object at time t = 2?

• 64 m/s/s

• 60 m/s/s

• 66 m/s/s

• 70 m/s/s

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

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.8.F.B.4

CCSS.HSF.IF.B.6

The following is a graph of a velocity function. What statement about part A of the graph are true?

• The object is at rest.

• The acceleration is positive (its velocity is increasing)

• The acceleration is negative (its velocity is decreasing)

• The object is moving at a constant velocity.

Tags

CCSS.HSF.IF.B.4

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

• Position = 0
• Position = 1
• Position = 2
• Position = -1 

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.SSE.A.1

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

The velocity of an object is given as v = 2t + 3t³. What is the acceleration of the object at t = 2 secs?

• 38 m/s/s
• 27 m/s/s
• 16 m/s/s
• 49 m/s/s

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

• 11
• -10
• 7
• 0

Tags

CCSS.HSA.SSE.A.1