Question

Two vehicles bound for Nuku started their journey from the same starting point at the same time but traveled at different velocities. Vehicle A began the journey at a high speed and constantly decelerated for half of the journey to a stopping point at Maprik, and then constantly accelerated the rest of the journey time to Nuku. Vehicle B traveled at a constant speed without any stops all the way to Nuku. At two instances in the journey, vehicle A and vehicle B traveled together - that is, the first hour and the third hour of the journey, they were both two kilometers and four kilometers, respectively, from the starting point of the journey.

A) Find the velocity of vehicle A in terms of the distance (d) and the journey time (t).
a) V_A = (2d) / t
b) V_A = (d^2) / t
c) V_A = (d) / (2t)
d) V_A = (2d) * t

Answer 1

The velocity of Vehicle A in terms of distance and journey time is (2d) / T.

Step-by-step explanation:

Given that Vehicle A and Vehicle B traveled together at the first and third hour of the journey, we can use this information to find the velocity of Vehicle A in terms of distance (d) and journey time (t).

Let's assume that the total journey time is T, and the distance traveled by both vehicles at the first hour is x. At the third hour, Vehicle B has traveled 4 kilometers, while Vehicle A has traveled 2 kilometers. Since both vehicles traveled together, the remaining distance traveled by Vehicle A at the third hour can be calculated as (d - 2).

Using the formula v = s/t, we can set up the following equations:
V_A = x/1 = 2/(T/2) = 4/(T/3) = (d - 2)/(T/2)

Simplifying the equation, we get:

V_A = (2d)/T

Therefore, the correct answer is a) V_A = (2d) / t.