A car is moving along a road with a speed of 45 km/hr. In what direction must a body be projected from it with a velocity of 25 m/s, so that its resultant motion is at right angles to the direction of car?

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A car is moving along a road with a speed of 45 km/hr. In what direction must a body be projected from it with a velocity of 25 m/s, so that its resultant motion is at right angles to the direction of car?

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At an angle of $120^{0}$ with the direction of motion of car.

At an angle of $60^{0}$ with the direction of motion of car.

At an angle of $90^{o}$ with the direction of motion of car.

At an angle of $135^{0}$ with the direction of motion of car.

answer is A.

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Detailed Solution

$v_{c} = 45 km / h = \frac{25}{2} m / s$

For the resultant motion to be upwards.

$v \cos θ + v_{c} = 0$

$\cos θ = - \frac{v_{C}}{v} = - \frac{\frac{25}{2}}{25} = - \frac{1}{2} \Rightarrow θ = 120^{0}$

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