All AP Physics 1 Resources
Example Questions
Example Question #31 : Motion In One Dimension
A rocket ship moves at
when a part breaks off and falls straight down. The rocket continues to move at the same velocity after the part breaks off.How far below the ship is the part after 5 seconds?
We use the equation:
With
, , , and we have:
The part moves 875 meters upward in the time it breaks from the ship. Then, we use:
with and to find that the ship has moved 1000 meters during the same 5 second period.
So the ship moved upward 1000 meters in the 5 second time period while the part moved 875 meters upward so to find the distance between the ship and the part as the problem statement requested we subtract:
Example Question #271 : Newtonian Mechanics
A car moving to the right at
accelerates to the right at for 14 meters.What is the cars velocity after the acceleration period?
We use the equation:
Where the initial velocity is
, the acceleration is , and the displacement during the acceleration .Plug in those values into our equation and solve.
Example Question #34 : Motion In One Dimension
Calculate the acceleration,
of a race car that can go a distance of in , assuming the acceleration is constant and the car starts from rest.
However unrealistic, if the acceleration of the race car were constant, we could calculate a value. We need everything in SI units, so we have to convert the distance to
Using a kinematic equation, we can directly calculate the acceleration
,
Example Question #311 : Ap Physics 1
A block is placed at a height of
on a ramp at an incline of . It slides down from rest with an acceleration of due to a frictional force. What is the velocity of the block when it reaches the bottom of incline?
To find the final velocity we use the following kinematic equation.
The block starts from rest, so
. The incline is eighteen meters high, so we can find the distance (hypotenuse) as follows:
We know that the acceleration is
.Plug in the values to find the velocity at the bottom of the incline.
Example Question #37 : Motion In One Dimension
Object A is traveling at
. It is hit from behind by object B traveling at . If they both have a mass of , determine their final velocity if they stick together.
Definition of momentum:
Combine equations:
Plug in values:
Example Question #311 : Ap Physics 1
A ball is dropped from a building of height 45m. How long does it take for the ball to hit the ground? Ignore air resistance.
Let's first list the values we know.
We are looking for the time it takes for this ball to reach the ground, thus we are looking for
. The kinematics equation we need to use is:
Since the initial velocity is zero, the
term disappears. Thus we are left with:
Solve for time.
We only take the positive value in our calculation since time cannot be negative.
Example Question #41 : Linear Motion And Momentum
Suppose that two people are ice skating. Person A has a mass of
and person B has a mass of . At one point, both of them are standing on the ice together while not moving. If both of them push away from each other and slide across the frictionless ice, what will be the speed of person B compared to person A?The speed of Person B will be equal to the speed of Person A
The speed of Person B will be twice as much as the speed of Person A
The speed of Person B will be half as much as the speed of Person A
The speed of Person B will be one-fourth the speed of Person A
The speed of Person B will be twice as much as the speed of Person A
In this question, we're presented with a scenario in which two people are skating on ice. Initially, the two of them are standing still, and then they push away from each other. We then have to figure out the relative velocities of the two people.
To answer this question, we'll need to consider the momentum of the two skaters. Due to the conservation of momentum, we know that the initial momentum of the two skaters together will be equal to the momentum of the two skaters after they have pushed away from each other. We can express this in equation form as follows.
Initially, the two skaters are standing still. Thus, the initial velocity
is equal to . This means that the initial momentum of these skaters is . Since the initial momentum is equal to , then the final momentum must also be equal to zero. Therefore, we can rewrite the above equation as follows.
Now, if we plug in the values for the masses of each person, we can obtain our answer.
A few things are worth mentioning. The negative sign in the above expression means that the velocities of both people are in opposite directions, which we would expect considering that the two are pushing away from one another. Furthermore, we can see that the speed of person B is twice as much as the speed of person A because person B's mass was half that of person A's mass.
Example Question #42 : Linear Motion And Momentum
When striking, a mosquito can accelerate from rest to a max speed of
in . What is the mosquito's acceleration during this attack? For this question ignore the effects of both air resistance and the free fall acceleration due to gravity.
Use the equation for acceleration.
Plug in the known values and solve for the acceleration.
The mosquito has an incredible acceleration of
.Example Question #41 : Linear Motion And Momentum
A rock is dropped from the top of Rampart High School radio tower at a height of
. Neglecting air resistance, how long does it take the rock to contact the ground below?
Use a kinematic equation to solve for the final time.
Plug in the known values and solve for the final time.
The rock will take
to fall from the top of the building to the ground below.Example Question #311 : Ap Physics 1
A squirrel in a tree drops an acorn from a height of
above your head. Neglecting air resistance, how fast will the acorn be traveling when it makes contact with your head?
Use a kinematic equation to solve for the time the acorn takes to fall to your head.
Plug in the known values and solve for the final time.
Use a second kinematic equation and solve for the final velocity.
Plug in the known values and solve for the final velocity.
When rounding and using significant figures the final answer would be
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