Aparticle starts at x=0 and moves along the x-axis with velocity v(t) =5 for time t greater than or less than 0. where is the particle at t=4

at t=4, the particle is at x = 20

Step-by-step explanation:

This question revolves around velocity and displacement of a particle moving in a straight line (along the x-axis). At t = 0 the particle is at x = 0. The velocity of the particle as function of time is given as;

v(t) = 5

The velocity is thus constant, implying further that the particle has 0 acceleration.

To find the position of the particle at t = 4, we employ integral calculus since displacement is an integral of velocity while velocity is a derivative of displacement.

In short, we shall be integrating the velocity function between t =0 and t = 4 to find its location at t = 4.

The integral of 5 with respect to t is 5t + c but we ignore the constant of integration since we are dealing with a definite integral;

5t

The final step is to substitute t with the limits given;

5(4) - 5(0) = 20

The particle was moving along the x-axis, so its new position would be;

x = 20

you forgot the options, but i found them anyways, the correct answer is "john wilson believes that words and actions based on the intellect are superior to those based on emotions".

john wilson is depicted as an extremely intelligent man. the point of the excerpt is to make a sort of distinction between emotional and rational intelligence. he happens to have both attributes, but he clearly favors his intellectual gifts. at the same time, because of his religious background, he's a little bit conflicted with this and it makes him ashamed.

hope this !