Math Problem Statement
Lee y analiza el siguiente planteamiento:
Una partícula se mueve en línea recta y su desplazamiento (en metros) está dado por la función: f(t)=t^2-10t+13 t=segundos.
A) Encuentra la velocidad promedio en cada uno de los siguientes intervalos de tiempo: Formula a utilizar: v_ρ=(f(t_2 )-f(t_1 ))/(t_2-t_1 ) [3,4] t1=3
f(3)=3^2-10(3)+13 f(3)=9-30+13 f(3)=-8 t2=4
f(4)=4^2-10(4)+13 f(4)=16-40+13 f(4)=-11
Vprom=(f(t_2 )-f(t_1 ))/(t_2-t_1 )
Vprom=(11-8)/(4-3)
Vprom= (-3)/1= -3 m/s
Es correcto si o no
Solution
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Math Problem Analysis
Mathematical Concepts
Calculus
Average Velocity
Quadratic Functions
Formulas
Average velocity: v_ρ = (f(t_2) - f(t_1)) / (t_2 - t_1)
Quadratic function: f(t) = t^2 - 10t + 13
Theorems
Mean Value Theorem for Derivatives
Suitable Grade Level
Grades 10-12
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