Particle Motion (Calculus)

What is velocity?

• the quickness of an object
• the location of an object
• acceleration
• speed in a specific direction

v (t) > 0 means

• the particle is moving to the right

• the particle is speeding up

• the particle has positive position

• the particle is at rest

The acceleration function is the first derivative of...

• position
• velocity
• calculus
• particle motion

Which of the following can be used to determine when a particle is at rest?

• x(t)=0
• v(t)=0
• a(t)=0

The velocity function is the first derivative of...

• position

• velocity

• calculus

• particle motion

A particle's speed is decreasing if

• it's acceleration is positive
• it's velocity is positive
• it's velocity and acceleration have the same sign
• it's velocity and acceleration have different signs

A particle has positive velocity if it's position graph is

• negative
• positive
• decreasing
• increasing

A particle has negative velocity if it's position graph is

• negative
• positive
• decreasing
• increasing

v(t)<0 means

• the particle is moving to the right
• the particle is moving to the left
• the particle has positive position
• the particle is at rest

Which of the following determines speed?

• a(t)

• x'(t)

• v(t)

• |v(t)|