Motion

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 

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 acceleration function is the first derivative of...

• position
• velocity
• calculus
• particle motion

A bug begins to crawl up a vertical wire at time t = 0.  The velocity v of the bug at time t, 0 < t < 8, is given by the function whose graph is shown behind this text. At what value of t does the bug change direction? 

• 2
• 4
• 6.5
• 7

Tags

CCSS.HSF.IF.B.4

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.IF.B.4

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

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

A particle has positive velocity if it's position graph is

• negative
• positive
• decreasing
• increasing

Tags

CCSS.HSF.IF.B.4

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