Question:
A boat takes 2 hours to travel 8km and back in still water lake.With water velocity of 4 kmph the time taken for going upstream of 8km and coming back is.
A boat takes 2 hours to travel 8km and back in still water lake.With water velocity of 4 kmph the time taken for going upstream of 8km and coming back is.
Updated On: Jul 5, 2022
- 160 minutes
- 80 minutes
- 320 minutes
- 180 minutes
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The Correct Option is A
Solution and Explanation
$V_B = \frac{8 + 8}{2} = 8 kmph$
$t = t_1 + t_2 = \frac{8}{\nu_B + \nu_r} + \frac{8}{\nu_b - \nu_r} = 160 min$
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Notes on Motion in a plane
Concepts Used:
Motion in a Plane
It is a vector quantity. A vector quantity is a quantity having both magnitude and direction. Speed is a scalar quantity and it is a quantity having a magnitude only. Motion in a plane is also known as motion in two dimensions.
Equations of Plane Motion
The equations of motion in a straight line are:
v=u+at
s=ut+½ at2
v2-u2=2as
Where,
- v = final velocity of the particle
- u = initial velocity of the particle
- s = displacement of the particle
- a = acceleration of the particle
- t = the time interval in which the particle is in consideration