11B Variable Acceleration - Differentiation

Derivative means the same thing as

• slope of the tangent line
• slope of the normal line
• exponent
• potato

The derivative of position is 

• velocity
• acceleration
• potato 

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

Find the derivative of the given equation
f(x) = x³ + x² + 3

• 3x² + 2x
• 3x + 2x 
• 3x + 2x + 3
• x³ + x² 

Tags

CCSS.HSA.APR.A.1

To find the velocity function, you need the

• first derivative

• second derivative

• third derivative

• original function

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

• 11
• -10
• 7
• 0

Tags

CCSS.HSA.SSE.A.1

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

The position function x(t)=7t²-18t-7 is given. What is the velocity function?

• v(t)=14t-18
• v(t)=14t+18
• v(t)=18t-14
• v(t)=18t+14
  

Tags

CCSS.HSF.BF.A.1

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

The position function is also known as the

• first derivative

• second derivative

• third derivative

• original function

To find the acceleration function, you need the

• first derivative

• second derivative

• third derivative

• original function