A car is moving at a velocity of 8 km/hour. A body is thrown outside the car at a velocity of 16 km/hour. If the body moves perpendicular to the car, what is the angle at which the body was thrown ?

Question

A car is moving at a velocity of 8 km/hour.  A body is thrown outside the car at a velocity of 16 km/hour. If the body moves perpendicular to the car,  what is the angle at which the body was thrown ?

Accepted Answer

গ. 120°

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Let the car velocity be along the x-axis: v_c = 8 i. The body is thrown with velocity v_b relative to the ground (or car). Usually, in such classic problems, the velocity relative to the car is thrown at an angle, or velocity v = 16 km/h is thrown relative to the car/ground. Standard mechanics question: If velocity of car is u = 8, thrown velocity v = 16 at angle α with the direction of motion such that the resultant velocity R is perpendicular to the car's direction: R = u + v cos α = 0 => cos α = -u/v = -8/16 = -1/2 => α = 120°.

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