## Math Problem Statement

A particle that moves along a straight line has velocity

ひ（t）=ゼe-2t

meters per second after t seconds. How many meters will it travel during the first t seconds (from time=0 to time=t)?

## Solution

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## Math Problem Analysis

### Mathematical Concepts

Calculus

Definite Integration

Exponential Functions

### Formulas

Distance traveled: D(t) = ∫ v(t) dt

Exponential function integration: ∫ e^{at} dt = (1/a)e^{at} + C

### Theorems

Fundamental Theorem of Calculus

### Suitable Grade Level

College-level Calculus

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