Kinematic Equations and Displacement Calculations in Motion Problems

This video tutorial teaches how to solve kinematic equations using a kinematic chart. It covers four problems: calculating displacement for a car slowing down, determining the distance a bicyclist travels while decelerating, finding the acceleration of a skier, and calculating the displacement of a car given initial and final velocities. Each problem involves identifying the unused variable, selecting the appropriate equation, and performing substitutions to solve for the desired quantity.

What is the initial velocity of the car in the first problem?

• 15 meters per second

• 20 meters per second

• 10 meters per second

• 18 meters per second

Which variable is not used in the first problem's equation?

• Acceleration

• Time

• Final velocity

• Initial velocity

What is the displacement of the car after 10 seconds?

• 100 meters

• 180 meters

• 150 meters

• 130 meters

What is the initial speed of the bicyclist in the second problem?

• 6.00 meters per second

• 8.00 meters per second

• 7.57 meters per second

• 5.09 meters per second

Which equation is used to solve the second problem?

• Delta X = VIT + 1/2 AT^2

• Delta X = 1/2 (Vi + Vf) T

• Vf^2 = Vi^2 + 2A Delta X

• Vf = Vi + At

What is the displacement of the bicyclist during the slowdown?

• 5.00 meters

• 2.50 meters

• 4.50 meters

• 3.23 meters

What is the final velocity of the skier in the third problem?

• 30.7 meters per second

• 1.7 meters per second

• 15.0 meters per second

• 10.0 meters per second

Which variable is not used in the skier's problem equation?

• Initial velocity

• Time

• Final velocity

• Displacement

What is the acceleration of the skier?

• -9.76 meters per second squared

• -10.00 meters per second squared

• -7.50 meters per second squared

• -8.00 meters per second squared

What is the displacement of the car in the final problem?

• 250 meters

• 232 meters

• 200 meters

• 220 meters