Question

A bus starting from rest has uniform acceleration of 5m/sec^2 simultaneously moves along the same road with constant velocity of 50m/sec. what the car and bus meet the velocity of the bus is?

Answer 1

Answer on Question #59555-Physics – Mechanics | Relativity

A bus starting from rest has uniform acceleration of $5\mathrm{m}/\mathrm{sec}^{\wedge}2$ simultaneously moves along the same road with constant velocity of $50\mathrm{m}/\mathrm{sec}$. what the car and bus meet the velocity of the bus is?

Solution

$$d_{bus} = \frac{a t^{2}}{2}$$ $$d_{car} = v t$$ $$d_{bus} = d_{car} \rightarrow v t = \frac{a t^{2}}{2}$$ $$t = \frac{2 v}{a}.$$ $$d = v \frac{2 v}{a} = \frac{2 v^{2}}{a} = \frac{2 (50)^{2}}{5} = 1000\ \mathrm{m}.$$

The velocity of the bus is

$$v_{bus} = a t = a \frac{2 v}{a} = 2 v = 100\ \frac{\mathrm{m}}{\mathrm{s}}.$$

https://www.AssignmentExpert.com