Calculus - Particles 1

Front

What does v(t) = 0 indicate about a particle's motion?

Back

The particle is at rest at time t.

Tags

CCSS.HSF-IF.C.7A

Front

What is required to determine if a particle changes direction at time t?

Back

v(t) = 0 and velocity changes sign.

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

Front

What does v(t) > 0 signify in terms of particle movement?

Back

The particle is moving to the right.

Tags

CCSS.HSF.LE.B.5

Front

How do you find the instantaneous velocity of a position function x(t)?

Back

Take the derivative of x(t) with respect to t.

Front

What does a flat (horizontal) line on a velocity-time graph represent?

Back

The object is moving, but at a constant velocity.

Tags

CCSS.HSF.IF.B.4

Front

What is the formula for velocity in terms of position function x(t)?

Back

v(t) = dx/dt.

Front

If x(t) = -t^2 + 1, what is the instantaneous velocity at t = 1?

Back

v = -2.

Front

What does a positive acceleration indicate about a particle's velocity?

Back

The particle's velocity is increasing.

Front

What is the relationship between velocity and acceleration when a particle is at rest?

Back

Velocity is zero, but acceleration can be positive, negative, or zero.

Front

How can you determine if a particle is speeding up or slowing down?

Back

Compare the signs of velocity and acceleration.

Tags

CCSS.HSF.IF.B.4