1 the motion of a particle is defined by the function x 12t 3 18t 2 2t 5 where x and t are expressed in meters and seconds
Question
1. The motion of a particle is defined by the function 𝑥=12𝑡^3−18𝑡^2+2𝑡+5, where x and t are expressed in meters and seconds respectively. Determine the position and velocity when the acceleration is equal to 0.
123
likes
613 views
Answer to a math question 1. The motion of a particle is defined by the function 𝑥=12𝑡^3−18𝑡^2+2𝑡+5, where x and t are expressed in meters and seconds respectively. Determine the position and velocity when the acceleration is equal to 0.
Paso 1: Determinar la función que define la velocidad y aceleración de la partícula.
x = 12t^3 - 18t^2 + 2t + 5
dx/dt = velocidad (v) =36t^2 - 36t + 2
d^2(x)/dt^2 = aceleración (a) = 72t - 36
Paso 2: Resuelva para t cuando a=0.
a = 0 = 72t - 36
t = 1/2
Paso 3: Resuelva la velocidad y la posición de la partícula en el tiempo resuelto cuando a=0.
x = 3 metros
v = -7 m/s
Frequently asked questions (FAQs)
What is the volume of a rectangular prism with length 6cm, width 4cm, and height 3cm?
+
What is the mean of the following set of numbers: 5, 8, 12, 15, 19, 22, 8, 15, 10?
+
Math question: What is the dimension of the subspace formed by the basis vectors (1, 0, 2) and (-1, 1, 0)?