Proportional Reasoning
A dog is running away from the house at a constant velocity. How much farther will the dog travel if he runs at the same constant velocity for triple the time?
3x as far
On a position vs. time graph how do you show that you are moving forwards or backwards?
Slope (Negative = backwards, Positive = forwards)
Describe the difference between a vector and a scalar quantity. Provide an example of each.
Vector - a quantity that has magnitude and direction (example: velocity, displacement)
Scalar - a quantity with magnitude only (example: speed, distance)
An elevator is moving upward with a speed of 11 m/s. Three seconds later, the elevator is still moving upward, but its speed has been reduced to 5.0 m/s. What is the acceleration of the elevator during the 3.0 s interval?
-2.0 m/s2
Julie is walking around a track at a 2m/s for some exercise. She then decides to start jogging so she accelerates at a rate of 0.5m/s² for 3 seconds. How far did Julie travel from the time she started to accelerate to the end of the 3 seconds?
x = 8.25 m
A rock is thrown with a velocity of +10 m/s, reaching a maximum height of h. What will the maximum height be if the rock was then thrown with an initial velocity of +20 m/s.
4 x the original height
Draw the velocity vs. time graph for an object that starts with an initial velocity and rolls up the ramp before then rolling back down the ramp.
V vs. T graph should include:
- Axes with units
-Constant negative slope, crossing the t-axis
A ball accelerates at a rate of 10 m/s2. Using only words, explain what this means.
The ball is changing velocity (speeding up or slowing down) by 10 m/s every second
Starting from rest, a car confined to move along a straight line is accelerated at a rate of 17 m/s2. What is the speed after it has traveled 5 m?
v = 13.04 m/s
Two cars are traveling down the same road. Using a velocity vs. time graph, how can you tell which car is ahead at t=10 seconds?
Find the area under the curve from t = 0 to t = 10 seconds. Whichever car has a higher value has gone further.
Starting from rest, Ms. Alperstein starts sprinting down the 1600 hallway at SHS, accelerating at a rate of "a". Determine how Ms. Alperstein's distance would change if she sprints at the same hallway at the same rate of acceleration, but for HALF of the time.
1/4 of the original distance
Draw the TWO velocity vs. time graphs that show positive acceleration.
TWO v vs t with positive slopes:
Positive line above t-axis going away from 0
Positive line below t-axis going towards 0
You drop a golf ball and a bowling ball from the top of a ladder. Which one will hit the ground first and why?
They will both hit the ground at the same time. Both objects are dropped from rest and accelerate towards the ground at -9.8 m/s2. Mass does not matter.
A runner has an initial velocity of 4.1 m/s. She runs for 10 seconds before coming to a halt. How far has she traveled?
x = 20.5 m
A feather is dropped on the moon from a height of 1.40 meters. The acceleration of gravity on the moon is 1.67 m/s2. Determine the time for the feather to fall to the surface of the moon.
t = 1.29 s
Chris can throw a baseball 24.2 m high. How many times faster would he need to throw it if they wanted to triple the height of the ball?
sqrt(3) times faster
Linearize the following graph and write a physics equation.
Length (y-variable) vs. Velocity (square root) (x-variable)
Slope: 4
Y-intercept: 2
L = (4 m/(sqrt(m/s))) Sqrt(v) + (2 m)
You can find displacement using a velocity v. time graph by finding the area on the curve. How does that work out? (Hint: explain using units)
If you take the area of any object, you are multiplying base x height. The base units are seconds and the height units are m/s. If you multiple the two units by one another = seconds x m/s = meters.
A truck accelerates uniformly from rest to a speed of 9.2 m/s over a distance of 26.2 m. Determine the time it took to reach 26.2 m.
t = 5.75 sec
Determine the physics word that matches this definition: where an object is located relative to an arbitrary reference point like “the origin.”
position