Basic Calculus

Question 1

Velocity is the….

Answer 1

slope of the displacement graph

Question 2

Acceleration is the…

Answer 2

slope of the velocity graph

Question 3

The slope between two points on a displacement vs. time graph is equal to…

Answer 3

the average velocity between those two points

Question 4

The slope between two points on a velocity vs. time graph is equal to…

Answer 4

The average acceleration between those two points

Question 5

What is the time derivative

Answer 5

The change in displacement over the theoretically smallest change in time

Question 6

Through what three methods can differentiation occur

Answer 6

1. Graphical method
2. Analytical method
3. Finite difference

Question 7

What are 4 characteristics of tangent lines

Answer 7

• just touches a curve at one point
• is heading in the same direction as the curve at that point
• is the best straight line approximation of the curve at that point
• the slope of the line at any one point

Question 8

what is the equation for a straight line

Answer 8

y= mx + b