Math Problem Statement
Help me solve the following without giving me the answer: A car moves along an x axis through a distance of d m, starting at rest (at x0 and ending at rest (at xf ). Through the first 1/4 of that distance, its acceleration in +a1 m/s2. Through the rest of that distance, its acceleration is (−a2)m/s2. What are its travel time through the d
Solution
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Math Problem Analysis
Mathematical Concepts
Kinematics
Equations of Motion
Algebra
Formulas
v1^2 = v0^2 + 2a1 * d1
v2^2 = v1^2 - 2a2 * d2
v1 = v0 + a1 * t1
v2 = v1 - a2 * t2
Total time T = t1 + t2
Theorems
Kinematic Equations
Conservation of Energy (for constant acceleration)
Suitable Grade Level
Grades 10-12 (High School Physics)
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