Definitions Acceleration: The change in an objects velocity over time. Deceleration: Negative Acceleration.
Velocity Definition in Math!
Negatives - Displacement - Velocity - Acceleration
Warm Up Is it + acceleration or - acceleration?
Warm Up Is it + acceleration or - acceleration?
Warm Up Is it + acceleration or - acceleration?
Warm Up Is it + acceleration or - acceleration?
Warm Up Is it + acceleration or - acceleration?
Warm Up Is it + acceleration or - acceleration?
+ Acceleration Displacement vs Time Graph As time goes on, distance increases along a curve.
+ Acceleration Velocity vs Time Graph As time goes on, Velocity increases at a steady rate, following a straight line.
+ Acceleration Acceleration vs Time Graph The value of the line (how high it is) is the measure of the acceleration. Acceleration is constant, and is not changing.
- Acceleration Displacement vs Time Graph As time goes on, distance increases slower and slower, following a curve.
- Acceleration As time goes on, the velocity decreases, following a straight line. Velocity vs Time Graph
- Acceleration Acceleration vs Time Graph Again, the line is straight, but it is negative. This line is below the x axis.
Is there an equation that binds them all together? v = velocity a = acceleration t = time x f = final position x i = initial position
Let’s Practice What does the equation look like? Hawkeye is going to shoot an evil robot flying through the city. His bow will accelerate the arrow at 42m/s 2. Before the arrow is released, it is at rest at the starting point.
Fill in the blanks
Let’s Practice What does the equation look like? Spider-Man swings from his web through New York. At the beginning of his his swing, he jumps off a building going 9 ft/s. Gravity speeds him up at 32 ft/s 2.
Fill in the blanks
Let’s Practice What does the equation look like? A sky diver is 3000 meters from the ground. She has already reached a velocity of 200 m/s. Her parachute slows her down by 60 m/s 2.
Fill in the blanks
Wrap Up On a piece of paper, write out the “Kinematic Equation” Describe what each variable means Give an example of an object in motion, and write what the equation would look like. Calculate the displacement of the object when t = 3s.
Practice