AP Physics C: Mechanics Quick Concept Review

FInd the derivative:
f(x) = (-2/3)x³ - (1/2)x² + 9x

• -2x² - x + 9
• -2x² + x + 9
• 2x² - x + 9
• 2x² - x - 9

Find the second derivative of the function:
f (x) =  2x - 5x⁶

• f ''(x)= 2 - 30x
• f ''(x) =  2-30x⁵
• f ''(x) = -30x⁵
• f ''(x) = -150x⁴

Find the derivative of y = 2x² (3x - 4)

• 6x³ - 8x²
• 18x² - 16x
• 15x² - 6x
• 6x - 4

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

NGSS.HS-PS2-1

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

• 2/3 x³
• 2x+C
• 4x+C
•  2/3 x³ +C 

• x² + C
• 1/2 x² + C
• 1/4 x² + C
• 2x² + C

Which of the following is NOT an example of unbalanced forces?

• a turning car

• a car breaking to a stop

• a car traveling 60 mph constantly

• a car accelerating down a hill

Tags

NGSS.HS-PS2-1

Which of the following is an example of balanced forces?

• a box with a Net Force of 5N

• a box with a Net Force of -5N

• a box with a Net Force of 0N

• a box with a Net Force of 5N to the right

Tags

NGSS.HS-PS2-1

What is the difference between speed and velocity?

• speed is a change in velocity

• speed is velocity with a direction

• speed is no change in velocity

• velocity is speed with a direction