Question

a bus is moving along a road at the rate of 2 m/s. In what direction should a stone be projected from it with a velocity of 12 m/s so that the resultant motion of the stone may be right angle to the motion of the bus ?

Answer 1

Answer on Question #42197, Physics, Mechanics | Kinematics | Dynamics

A bus is moving along a road at the rate of $2\mathrm{m / s}$ . In what direction should a stone be projected from it with a velocity of $12\mathrm{m / s}$ so that the resultant motion of the stone may be right angle to the motion of the bus?

Solution:

Given:

$v_{b} = 2\mathrm{m / s},$

$v_{s} = 12\mathrm{m / s},$

$\theta = ?$

The velocity diagram is

$$\cos \theta = \frac {v _ {b}}{v _ {s}} = \frac {2}{1 2} = \frac {1}{6}$$ $$\theta = \cos^ {- 1} \left(\frac {1}{6}\right) = 8 0. 4 1 {}^ {\circ}$$

Answer. The stone must be thrown in the opposite direction at an angle $80.41{}^{\circ}$ to the horizontal.

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