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?

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: (to the right)

Final Velocity of the robotic arm: (to the left)

Variation in time:

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

This means the resultant velocity is to the left

Now, we can find the acceleration , given by:

This means the acceleration is also to the left, however its magnitude is always positive: