Question

a body goes from P to Q with a velocity 40 m/s and comes back with velocity of 60 m/s. what is the average velocity of the body during the journey ?

Answer 1

Answer on Question #42612, Physics, Mechanics | Kinematics | Dynamics

Task: a body goes from P to Q with a velocity 40 m/s and comes back with velocity of 60 m/s. what is the average velocity of the body during the journey?

Solution:

$$V _ {1} = 4 0 m / s, V _ {2} = 6 0 m / s.$$ $$V _ {a v e l} = \frac {S _ {a}}{t}, \text { where } S _ {a} = S _ {p q} + S _ {q p} = \left\{S _ {p q} = S _ {q p} = S \right\} = 2 S [ m ].$$ $$t _ {1} = \frac {S _ {p q}}{V _ {1}} = \frac {S}{4 0} [ s ], t _ {2} = \frac {S _ {q p}}{V _ {2}} = \frac {S}{6 0} [ s ].$$ $$t = t _ {1} + t _ {2} = \frac {S}{4 0} + \frac {S}{6 0} = \frac {S}{2 4} [ s ].$$ $$V _ {a v e l} = \frac {S _ {a}}{t} = \frac {2 S}{\frac {S}{2 4}} = 4 8 m / s.$$

Answer: the average velocity of the body during the journey is $V_{\text{avvel}} = 48 \, \text{m/s}$.

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