Question

el extremo de un brazo robotico se mueve hacia la derecha a 8m/s . cuatro segundos despues. se mueve hacia la izquierda a 2m/s.¿cual es su cambio de velocidad y cual su cambio de aceleracion?

Answer 1

Answer: Change in velocity: -10 m/s, acceleration=-2.5m/s

Explanation:

The question in english is written below:

The end of a robotic arm moves to the right at 8m s. Four seconds later it moves to the left at 2m/s. What is its change in velocity and what is its change in acceleration?

We have the following data:

Initial Velocity of the robotic arm: $V_{o}=8 m/s$ (to the right)

Final Velocity of the robotic arm: $V_{f}=-2 m/s$ (to the left)

Variation in time: $\Delta t=4 s$

Firstly we have to calculate the change in velocity $\Delta V$, which is given by the following equation:

$\Delta V=V_{f}-V_{o}=-2 m/s-8 m/s$

$\Delta V=-10 m/s$ This means the resultant velocity is to the left

Now, we can find the acceleration $a$, given by:

$a=\frac{\Delta V}{\Delta t}$

$a=\frac{-10 m/s}{4 s}$

$a=-2.5 m/s^{2}$ This means the acceleration is also to the left, however its magnitude is always positive: $2.5 m/s^{2}$