Terminology
Which of these is a vector?
Acceleration
Speed
Distance
Acceleration
How do I go about finding the vertical and horizontal components of a vector?
X component = magnitude of vector * cos(θ)
Y component = magnitude of vector * sin(θ)
A car starting from rest accelerates at 5 m/s^2. How far does this car travel in 10 seconds?
250 meters
What parts of horizontal motion and vertical motion remain constant throughout a projectile motion??
Horizontal: Velocity
Vertical: Acceleration due to Gravity
A velocity vs. time graph shows a straight horizontal line above the x-axis.
The object is moving at a constant velocity.
Acceleration is a change in _______ over time.
velocity
How do I find acceleration due to gravity on an incline plane?
g*sin(θ)
A car traveling at 15 m/s accelerates at 2 m/s^2. What is the final velocity after covering a distance of 250 meters.
35 m/s
The _______ velocity is zero at peak height
vertical
On a displacement vs. time graph, the slope of the line is constant and positive.
The slope represents the velocity of the object. A constant positive slope indicates constant positive velocity.
If you multiply a vector by a negative, what happens to it?
Its direction gets reversed
When I am adding two vectors, what should I keep in mind?
To add Tip to Tail
A box slides down a frictionless incline that makes a 30-degree angle with the horizontal. If the box starts from rest at the top of a 10-meter-long incline, How fast is the box moving when it reaches the bottom of the incline?
9.9 m/s
How high does a football reach when thrown 15 m/s at an angle of 38 degrees?
On a velocity vs. time graph, how can you find the total displacement of an object?
The area under the curve represents the displacement of the object.
Velocity is a change ___________ over time
in position
Find the vector components of a 250m vector at 45 degrees.
176.7766953 meters
A car covers a distance of 250 meters while accelerating from 15 m/s to 40 m/s. What is the acceleration of this car?
2.75 m/s^2
A cricket player strikes a ball to produce a velocity of 30 m/s at an angle of 75 degrees. How far from the bat would someone need to be to catch the ball (find range)?
A displacement vs. time graph shows a straight line with a positive slope. How can you find the velocity of the object from this displacement vs. time graph?
The velocity is the slope of the displacement vs. time graph. A straight line with a positive slope indicates a constant positive velocity.
What direction is acceleration in centripetal motion?
towards the middle
What is the resultant vector of the following two components:
150 meters at 210 degrees
75 meters at 20 degrees
77.245 meters at 219.7 degrees.
A car merges onto the highway at 25 m/s. It travels for 10 seconds, before starting to accelerate at a rate of 2 m/s^2 to 35 m/s. It then travels at 35 m/s for another 10 seconds. How much distance has the car covered since merging onto the highway.
750 meters
A battlebus is traveling at 200 m/s at a height of 200 meters. How far in front of your landing location should you drop out of the battlebus?
1278 meters.
How can you find the acceleration of the object from this displacement vs. time graph?
You can find the acceleration by calculating the change in velocity over time or by finding the rate of change of the slope of the displacement vs. time graph.