BC Calc Vector Calculus Practice

Front

What is the formula for speed in parametric equations?

Back

Speed = √((dx/dt)² + (dy/dt)²)

Front

How do you find the velocity vector from parametric equations x(t) and y(t)?

Back

Velocity vector = (dx/dt, dy/dt)

Front

What is the acceleration vector in parametric equations?

Back

Acceleration vector = (d²x/dt², d²y/dt²)

Front

How do you calculate the slope of the tangent line in parametric equations?

Back

Slope = (dy/dt) / (dx/dt) at a specific t.

Front

What is the position of a particle at time t in parametric equations?

Back

Position = (x(t), y(t)) where x(t) and y(t) are the parametric equations.

Front

How do you find the position of a particle given its velocity vector?

Back

Integrate the velocity vector with respect to time and add the initial position.

Front

What is the significance of the parameter t in parametric equations?

Back

t represents time and determines the position of the particle at any moment.

Front

What does it mean for a particle to have a speed of 0?

Back

The particle is at rest at that moment in time.

Front

How do you determine the speed of a particle at a specific time t?

Back

Substitute t into the speed formula derived from the parametric equations.

Front

What is the relationship between position, velocity, and acceleration?

Back

Velocity is the derivative of position, and acceleration is the derivative of velocity.