Math Problem Statement

Traveling in a Car Make graphs of location and velocity for each of the following driving events. In each case, assume that the car leaves from home moving west down a straight road and that position is given as the distance west from home.

a. A vacation: Being eager to begin your overdue vacation, you set your cruise control and drive faster than you should to the airport. You park your car there and get on an airplane to Spain. When you fly back 2 weeks later, you are tired, and you drive back home at a leisurely pace (Note: Here we are talking about the location of your car, not of the airplane.)

b. On a country road: A car driving down a country road encounters a deer. The driver slams on the brakes, and the deer runs away. The journey is cautiously resumed.

c. At the movies: In a movie chase scene, our

hero is driving his car rapidly toward the bad guys. When the danger is spotted, he does a Hollywood 180-degree turn and speeds off in the opposite direction.

Generate accurate graphs

Solution

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Math Problem Analysis

Mathematical Concepts

Kinematics
Graphing
Velocity
Position vs Time Graphs

Formulas

v = Δx/Δt (Velocity = Change in Position / Change in Time)

Theorems

Constant Velocity Motion
Acceleration (for changes in speed)

Suitable Grade Level

Grades 9-12