AP Physics C: Mechanics : Understanding Distances
Study concepts, example questions & explanations for AP Physics C: Mechanics
All AP Physics C: Mechanics Resources
Example Questions
Example Question #1 : Mechanics Exam
An object starts from rest and reaches a velocity of 
Since the acceleration is constant in this problem, we can apply the kinematics given equation to calculate the distance:
First, we need to calculate the acceleration.
Plug in our velocity and time values to find the acceleration.
Now we can return to the kinematics equation and solve for the distance traveled:
Example Question #2 : Mechanics Exam
At the moment a car is passed by another car constantly traveling at 
First, find the displacement equations for both cars. Car 1 will be the car that is initially stationary; car 2 will be the car traveling with constant velocity.
Car 1:
Car 2:
Now, set those displacement equations equal to each other and solve for 
The accelerating car will catch and pass the car traveling at constant velocity after 4 seconds.
Example Question #3 : Mechanics Exam
An object moving along a line has a displacement equation of 
Use the fact that 
Take the derivative of the displacement equation.
Set the velocity equal to zero.
Solve for the time.
Example Question #4 : Mechanics Exam
An object is moving on a line and has displacement equation of 
Take the second derivative of 
Set the acceleration fuction equal to zero and solve for the time.
Example Question #1 : Mechanics Exam
A projectile is launched out of a cannon or launch tube with zero air resistance or friction. At what angle (in degrees) should the projectile be launched to maximize the distance it travels?
The projectile travels the farthest when the vertical component of its velocity matches the sum of its horizontal component and whatever the wind/friction adds or subtracts. If the wind has no effect, then a 45-degree angle will be the best because the horizontal and vertical components of the velocity will create a right isosceles triangle (remember special triangles).
Certified Tutor
All AP Physics C: Mechanics Resources
