Position and Displacement Vectors, Speed vs. Velocity
Calculating the coordinates and direction of displacement and position vectors
Practicing how to find the coordinates of a vector for its length and direction and vector subtraction
Practicing how to find the total distance traveled, displacement vector, the distance between two points, average speed, and velocity of a set of vectors
Practicing how to find the total convert speed to velocity, velocity to displacement, and vice versa
During the middle of a family picnic, Barry Allen received a message that their friends, Bruce and Hal, needed to be saved. Barry promised his partner, Iris, he would return in exactly 5 minutes. From that picnic location, Barry runs at a speed of 600 m/s for 2 minutes at a heading of 35° north of west to save Bruce. He then changed his heading to 30° west of north but slows down to 400 m/s and runs for 1 minute to save Hal. (The speed changes are essentially instantaneous and not part of solving this problem).
Draw a physical representation of the displacement during Barry’s entire trip.
What average velocity (magnitude and direction) does Barry need to return to the picnic to keep his promise to Iris?
Generating displacement vs. time and acceleration vs. time from a velocity vs. time plot.
The figure shows a plot of a car’s velocity as a function of time.
Find the car’s acceleration at times t=3 [s], at t=7 [s], and at t=11 [s].
How far does the car travel between t=2 [s] and t=13 [s]?
Sketch a plot of the car’s position as a function of time. Appropriately scale and number the axes.
Sketch a plot of the car’s acceleration as a function of time. Appropriately scale and number the axes.
1-D Kinematics of Constant Acceleration and problem solving strategies
Exam Level Practice Problem
Two objects start from the same location and time but have different accelerations and initial velocities. We are asked to calculate the final location they meet again, and the time this process takes. In addition, we need to sketch the position vs. time (x-t) plot of the objects.
2-D Kinematics and Projectile Motion
Ultimate Level Practice Problem
Two objects, one with a contact speed, the other one with a constant speed race. First, we are asked to work on a 1D kinematic problem; then, we take the final values of part (a) and use them as the initial values of part (b). In part (b), we work on a complex projectile motion with a contact acceleration along the x and y-axis.