kinematic graphing

kinematic graphing

Setting up

y= meters

x= seconds

Position vs Time

The line approaching 7 seconds is moving up. This means the object is moving forward and getting farther from its initial position. At 7 seconds, the line reverses direction and is moving down. This means object has turned around and is moving backwards towards its initial position. At 7 seconds, there is a change in direction of the object.

Now, describe what is happening between 9 and 13 seconds.

During this time period, the object is not moving. Its position is 10 meters from its initial position throughout the 4 seconds period. It's not moving forwards or backwards.

Slope and velocity

•  $\frac{\Delta x}{\Delta y}$   

• velocity avg=  $\frac{\Delta d}{\Delta t}$  

• speed avg =  $\frac{d}{t}$  

solve

• velocity at 3 sec

• total distance traveled

• avg speed

• avg velocity

solution

• v=10m/s

• d total distance= 75

• avg speed= 4.4 m/s

• avg velocity= .88 m/s

Velocity vs Time

• y= velocity

• x= time

Slope of velocity vs time

•  $\frac{\Delta v}{\Delta t}$  

Slope of velocity vs time

• what is the velocity after 4s

Multiple Choice

What is the acceleration after 4 seconds?

• 20m/s

• 5 m/s²

• -5m/s²

• -20m/s

Solving Kinematic (linear algebra)

quick guide

• = bar means is same as

• work PEMDAS backwards to move variables to opposite side

y=mx+b

• solve for b

• solve for x

• solve for m

 $\Delta d=$  vi+1/2(a)(t^2 )

• solve for a

• solve for t

• solve for vi