All AP Physics 1 Resources
Example Questions
Example Question #51 : Motion In Two Dimensions
A ball rolls off of a high cliff at a constant velocity of . Neglecting air friction, what is the acceleration of the ball in the vertical and horizontal direction just before it hits the ground?
Vertical:
Horizontal:
Vertical:
Horizontal:
Vertical:
Horizontal:
Vertical:
Horizontal:
Vertical:
Horizontal:
The acceleration due to gravity only affects the object in the vertical direction, which is always . Because there is no external force acting on the ball in the horizontal direction there is no acceleration.
Example Question #53 : Motion In Two Dimensions
During time period , a rocket ship deep in space of mass travels from to . During time period , the rocket fires. During time period , the rocket travels from to .
Time periods , , and took each.
Determine the momentum during time period .
None of these
Combining equations:
Plugging in values:
Example Question #51 : Motion In Two Dimensions
During time period , a rocket ship deep in space of mass travels from to . During time period , the rocket fires. During time period , the rocket travels from to .
Time periods , , and all took
Determine the momentum during time period .
None of these
Combining equations:
Converting to and plugging in values:
Example Question #54 : Motion In Two Dimensions
Suppose that a person has walked north and east. What is this person's net displacement from where he initially started?
To answer this question, it's helpful if we draw the path this person takes.
Now, it's important to realize the difference between distance and displacement. The distance this person has traveled is the total amount of walking he has done. So in this case, the distance traveled would be:
However, this is not the answer to our question. The question is asking for the displacement, which is the net change in position of this person. We can draw it as follows:
Notice that in the above drawing, we have a right triangle. This will actually simplify things a bit, because we can use trigonometry to find the angle of displacement (shown above in blue). Then, we can use that information to find the displacement (shown above in green).
To find the angle of displacement, we can use the following expression:
Now that we have the angle, we can calculate the displacement using further trigonometry.
An alternative way to solve this problem, and arguably much easier, is to just use the Pythagorean theorem since we have a right triangle.
Example Question #57 : Motion In Two Dimensions
A quarterback throws a football a horizontal distance of to a wide receiver. The ball was airborne for . The ball had an initial speed of . The ball has a mass of .
Determine the angle between the initial velocity of the football and the ground.
None of these
Using:
Converting to
Converting yards to meters
Combining equations
Plugging in values:
Example Question #55 : Motion In Two Dimensions
A quarterback throws a football a horizontal distance of to a wide receiver. The ball was airborne for . The ball had an initial speed of . The ball has a mass of .
Determine the initial vector velocity of the football.
None of these
Determining horizontal component of velocity:
Using
Solving for
Combining equations
Converting to
Converting yards to meters
Plugging in values:
Example Question #53 : Motion In Two Dimensions
A quarterback throws a football a horizontal distance of to a wide receiver. The ball was airborne for . The ball had an initial speed of . The ball has a mass of .
Determine the speed at the apex of the throw.
None of these
At the apex, the only velocity will be in the direction as the ball is at it's maximum height.
Using:
Solving for velocity
Converting yards to meters
Plugging in values
Example Question #152 : Linear Motion And Momentum
A quarterback throws a football a horizontal distance of to a wide receiver. The ball was airborne for . The ball had an initial speed of . The ball has a mass of .
Determine the speed of the football 4 seconds after the throw.
None of these
Determining horizontal component of velocity:
Using
Solving for
Combining equations
Converting to
Converting yards to meters
Plugging in values:
Using
Example Question #151 : Linear Motion And Momentum
Two space ships are racing deep in space. At , Spaceship A is at the origin while traveling at . It is coasting, with it’s rockets off. Spaceship B is at . It’s traveling at . It’s rockets are firing with a constant force of . Both rockets have a mass of .
At what time will spaceship B pass Spaceship A if this continues? Assume that they are at different locations in the z-axis and thus will not crash.
None of these
Using position update formula:
The positions need to be equal, so:
Converting into quadratic form:
Plugging in values:
Solving for a quadratic yields:
Example Question #152 : Linear Motion And Momentum
Two space ships are racing deep in space. At , Spaceship A is at the origin while traveling at . It is coasting, with it’s rockets off. Spaceship B is at . It’s traveling at . It’s rockets are firing with a constant force of . Both rockets have a mass of .
What magnitude velocity will spaceship have at the origin?
None of these
Using
Solving for
Plugging in values:
Certified Tutor
Certified Tutor