Motion problems with derivatives

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.1

CCSS.HSF.IF.A.2

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

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

Tags

CCSS.HSA.SSE.A.1

CCSS.HSN.VM.A.3

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

Tags

CCSS.HSN.VM.A.3

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

During which interval is the object speeding up?

• A to B
• B to C
• D to E
• E to F

Tags

CCSS.8.EE.B.5

Which runner stopped for a rest?

• Albert
• Bob
• Charlie

Which runner won the race?

• Albert
• Bob
• Charlie

Tags

CCSS.8.EE.B.5