Math Problem Statement

At the instant the traffic light turns green, a car that has been waiting at an intersection starts ahead with a constant acceleration of 3.20 m/s2. At the same instant a truck, traveling with a constant speed of 20.0 m/s, overtakes and passes the car. How far beyond its starting point is the car traveling when it overtakes the truck?

Solution

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Math Problem Analysis

Mathematical Concepts

Kinematics
Algebra

Formulas

x_car(t) = (1/2) * a * t²
x_truck(t) = v * t

Theorems

Equations of motion under constant acceleration

Suitable Grade Level

Grades 10-12