AP Physics C Diagnostic Quiz

What is the derivative of sin(x)?

• cos(x)

• -sin(x)

• -cos(x)

• tan(x)

The area under a curve can be found using:

• Differentiation

• Integration

• Vector addition

• Cross products

In a related rates problem, if a cone's radius is increasing at 3 cm/s, what must you use to find the rate of change of its volume?

• Chain rule only

• Product rule only

• Chain rule and volume formula

• Quotient rule

What does the slope of a tangent line represent?

• The area under the curve

• The derivative at that point

• The integral at that point

• The vector magnitude

When adding vectors, what is the correct method?

• Multiply corresponding components

• Add corresponding components

• Subtract corresponding components

• Divide corresponding components

In scientific notation, 0.00045 is written as:

• 4.5 × 10-3

• 4.5 × 10-4

• 45 × 10-5

• 0.45 × 10-3

The dot product of two vectors results in:

• A vector

• A scalar

• A matrix

• An undefined value

If the measured value is 52 and the actual value is 50, what is the absolute error?

• 4%

• 2

• 0.04

• 0.02

How many significant digits are in 0.00340?

• 2

• 3

• 4

• 5

The cross product of two vectors is:

• Always parallel to both vectors

• Always perpendicular to both vectors

• Always parallel to one vector

• Always zero