Particle Motion

• never changes direction

• t = 2

• t = 3

• t = 6

Determine the interval(s) where the object is moving to the left.

• (1,2)

• (0,1), (3, infinity)

• (1,3)

• (0,1), (2,3)

When talking about particle motion, the second derivative helps find...

• the distance traveled by an object.

• The velocity of a particle at any given point

• acceleration of an object at any given time

The position function x(t)=t³+6t²+16t-18 is given on the interval of 0<x<9. What is the velocity at t=6?

• 197
• 190
• 18
• 196

Tags

CCSS.HSF.LE.B.5

A particle moves along the x-axis so that its position is given by the function $s\left(t\right)=t^3-4t^2-3t+1$ where s is measured in feet and t is measured in seconds. 

Find the displacement of the particle from t = 1 to t = 5.

• 19

• 49

• 16

• 6

The velocity of an object is given as v = 2t + 3t³. What is the acceleration of the object at t = 2 secs?

• 38

• 27

• 16

• 49

What is the total distance of the object represented in this motion graph?

• 0 meters
• 300 meters
• 450 meters
• 600 meters

Tags

CCSS.HSF.IF.B.4

A particle moves along the x-axis so that its position is given by the function  $s\left(t\right)=t^3-4t^2-3t+1$  where s is measured in feet and t is measured in seconds.

Find the total distance that the particle moves on the interval [1, 5].

• 16

• 6

• 50

• 40

Given the table for the velocity of a particle, how many times did the particle change direction over the time interval [2,7]?

• 1

• 2

• 3

• 4

What is the total displacement of the object represented in this position/time graph?

• 0 meters

• 100 meters

• 140 meters

• 200 meters