Question

Please answer this question ... without any spam .. Along with proper explanation !! ​

Answer 1

Given:

Two boys throw balls A and B from the window with a speed v(0) and kv(0) respectively, where k is a constant.

To show:

$\bf k = \dfrac{ \cos( \theta2) }{ \cos( \theta1) }$

$\sf "Since\: Ball \: have\: the \: same\: velocity \: in \: x \: direction"$

Calculation:

Boy A threw the ball at a velocity v_(0) at an angle of $\bf \cos(\theta2)cos(θ2)$

So, velocity of the ball at the highest point:

$\bf v = v_{0} \cos( \theta2)$

Boy B threw the ball at a velocity kv_(0) at an angle of $\sf \cos(\theta1)cos(θ1)$

So, velocity of the ball at the highest point:

$\bf v = kv_{0} \cos( \theta1)$

The balls will collide if the the velocity vectors at the highest point is equal and opposite;

$\bf \therefore \: v_{0} \cos( \theta2)$

$\sf \implies k = \dfrac{ \cos( \theta2) }{ \cos( \theta1) }$

$\sf [Hence\: proved]$

• Therefore option, A and B are correct

Answer 2

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