1. Position, Velocity, Acceleration, & Speed of a Snowboarder

2. Describe the snowboarder’s motion. y(x) represents the snowboarder’s position.

3. y’(x) > 0 Velocity of snowboarder is positive. Snowboarder’s position is increasing.

4. y’’(x) > 0 Acceleration of snowboarder is positive. Snowboarder’s velocity is increasing.

5. y’(x) > 0 and y’’(x) > 0 Snowboarder is speeding up.

6. Describe the snowboarder’s motion. y(x) represents the snowboarder’s position.

7. y’(x) > 0 Velocity of snowboarder is positive. Snowboarder’s position is increasing.

8. y’’(x) < 0 Acceleration of snowboarder is negative. Snowboarder’s velocity is decreasing.

9. y’(x) > 0 and y’’(x) < 0 Snowboarder is slowing down.

10. Describe the snowboarder’s motion. y(x) represents the snowboarder’s position.

11. y’(x) < 0 Velocity of snowboarder is negative. Snowboarder’s position is decreasing.

12. y’’(x) > 0 Acceleration of snowboarder is positive. Snowboarder’s velocity is increasing.

13. y’(x) 0 Snowboarder is slowing down.

14. Describe the snowboarder’s motion. y(x) represents the snowboarder’s position.

15. y’(x) < 0 Velocity of snowboarder is negative. Snowboarder’s position is decreasing.

16. y’’(x) < 0 Acceleration of snowboarder is negative. Snowboarder’s velocity is decreasing.

17. y’(x) < 0 and y’’(x) < 0 Snowboarder is speeding up.

18. Snowboarding over Derivatives at: demonstrations.wolfram.com/SnowboardingOverDerivatives/ demonstrations.wolfram.com/SnowboardingOverDerivatives/