Math
Measures
DDSV
54321
Variable Calculus
100

A graph of the tangent lines of a curve is this.

What is the derivative?

100

x and xo have base units of these.

What are meters?

100

This is the length of the path travelled.

What is distance?

100

This is the answer to number 6

What is 30.4 m/s?

100

The derivative of position is this

What is the velocity function?

200

The area under a specific part of a curve is called this.

What is a definite integral?

200

The units of this variable are m/s2

What is a?

200

Speed is one of these quantities, which only has magnitude.

What is a scalar quantity?

200

This is the answer to number 1

What is 533 km?

200

The derivative of velocity is this

What is the acceleration function?

300

This is always added to antiderivatives

What is +C?

300
Most kinematic equations are derivatives of the position function with respect to this variable.

What is t?

300

Velocity measurements must always have both a magnitude and this.

What is a direction?

300

This is the answer to 3c

What is 120 m?

300

The antiderivative of velocity is this

What is the position function?

400
When deriving with respect to t, all other variables must be treated as these.

What are constants?

400

Velocity measured in km/h must be converted to these units.

What is m/s?

400
A runner runs around a 400 m circular track exactly once so they have this displacement.

What is 0 m?

400

This is the answer to 3b

What is 46.9 m?

400

The integration constant applied after integrating acceleration is this

What is initial velocity?

500

Leibniz invented this type of calculus while Newton invented the other type of calculus.

What is integral calculus?

(Newton invented differential calculus)

500

These are the three base units in physics for distance, time, and mass.

What are the meter, second, and kilogram?

500

A runner runs 180 degrees of a circular 400 m track. This is their displacement.

What is 127 m?

500

This is the answer to 4a

What is yes?

500

The integration constant after double-integrating acceleration is this

What is initial position?

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