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

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Presentation transcript:

Position, Velocity, Acceleration, & Speed of a Snowboarder

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

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

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

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

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

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

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

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

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

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

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

y’(x) 0 Snowboarder is slowing down.

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

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

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

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

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