Kinematic Equations Recap

Kinematic Equations

Steps for Solving Math Equation Being used

• Annotate problem for variables known, unknown, and those inferenced in the problem (Example of inferenced is stating “at rest” means either initial or final velocity are equal to zero.)

• List all the known variables. NOTE: Not all of these variables will be used.

• List unknown variable. NOTE: This is what you are solving for.

• Determine what equation to use that has your unknown and all other variables in the equation are included in the known variable list.

Multiple Choice

An airplane has an acceleration of 3 m/s². The takeoff speed for this plane will be 65 m/s. Assuming all airplanes start from rest, how long will it take to reach its take-off speed? Choose the appropriate equation.

• $v_x=v_0+at$

• $\Delta x=v_0+\frac{1}{2}at^2$
  

• $v_x^2=v_0^2+2a\Delta x$
  

• $\Delta x=\frac{v_x+v_0}{2}t$
  

Multiple Choice

If Michael Jordan has a vertical leap of 1.29 m, then what is his takeoff speed if his acceleration is -9.8 m/s² and his velocity at the top of his leap is 0 m/s? Choose the appropriate equation.

• $v_x=v_0+at$

• $\Delta x=v_0+\frac{1}{2}at^2$

• $v_x^2=v_0^2+2a\Delta x$
  

• $\Delta x=\frac{v_x+v_0}{2}t$
  

Multiple Choice

A car starts from rest and accelerates uniformly over a time of 5.21 seconds for a distance of 110 m. Determine the acceleration of the car. Choose the appropriate equation.

• $v_x=v_0+at$

• $\Delta x=v_0+\frac{1}{2}at^2$

• $v_x^2=v_0^2+2a\Delta x$
  

• $\Delta x=\frac{v_x+v_0}{2}t$
  

Multiple Choice

Rocket-powered sleds are used to test the human response to acceleration. If a rocket-powered sled started from rest and accelerated to a speed of 444 m/s in 1.83 seconds, then what is the distance that the sled travels?

Choose the appropriate equation.

• $v_x=v_0+at$

• $\Delta x=v_0+\frac{1}{2}at^2$

• $v_x^2=v_0^2+2a\Delta x$

• $\Delta x=\frac{v_x+v_0}{2}t$