Section 1 review
Position describes a location in space relative to an origin. Velocity is the rate of change in position over time, which can be positive or negative depending on the direction or motion. Speed is the absolute value of velocity. Acceleration is the rate of change of velocity, and can also be positive or negative. The graphs of position vs. time and velocity vs. time are useful tools for analyzing motion. The slope of the x vs. t graph is the velocity and the slope of the v vs. t graph is the acceleration. Both position, velocity, and acceleration are connected through equations that are used to build mathematical models of motion.
position, origin, coordinates, displacement, vector, magnitude, scalar, speed, velocity, slope, acceleration, average velocity, instantaneous velocity

v= d t
v= Δx Δt
a= Δv Δt
v= v 0 +at
x= x 0 + v 0 t+ 1 2 a t 2

Review problems and questions

Graph of position vs. time
  1. The plot on the right shows the graph of position versus time of a vehicle. Answer the following questions:
    1. What is the total distance traveled by the vehicle?
    2. How far does the vehicle travel in one hour?
    3. What is the average speed of the vehicle?
    4. What is the maximum speed of the vehicle?
    5. How long does it take for the vehicle to travel 80 km?
    6. Show
  1. You start driving from Austin towards Houston with a constant speed of 120 km/h (75 mph). After 1.5 hours you stop for 0.5 hours. Then you continue driving with a new constant speed, v2, and reach Houston 45 minutes later.
    1. If the total distance from Austin to Houston is 265 km, what is the speed v2?
    2. What was your average speed during the trip? Show
Graph of velocity vs. time
  1. The plot on the right shows a velocity versus time graph of a vehicle. Answer the following questions.
    1. What is the acceleration of the vehicle during the first minute? Give your answer in m/s2 and km/h2
    2. After the first minute, does the acceleration of the vehicle increase or decrease? Explain your answer.
    3. What is the acceleration in the time interval between 3 and 7 minutes?
    4. What is the acceleration between 7 and 10 minutes?
    5. During which time interval does the vehicle have its maximum acceleration? Show


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