Two towers A and B , each of height 20   m are situated a distance 200   m apart. A body thrown horizontally from the top of the tower A with a velocity 20   ms - 1 towards the tower B hits the ground at point P and another body thrown horizontally from the top of tower B with a…

Question

Two towers A and B , each of height 20 &#160; m are situated a distance 200 &#160; m apart. A body thrown horizontally from the top of the tower A with a velocity 20 &#160; ms - 1 towards the tower B hits the ground at point P and another body thrown horizontally from the top of tower B with a velocity 30 &#160; ms - 1 towards the tower A hits the ground at point Q . If a car starting from rest from P reaches Q in 10 seconds, the acceleration of the car is _________ ( Acceleration due to gravity = 10 &#160; ms - 2 )

Aicharya · Accepted Answer

The time taken by both the ball to reach the ground is same because initial vertical velocity and height of the tower is the same in each case,

$A P = 20 \times \sqrt{\frac{2 h}{g}} = 20 \times \sqrt{\frac{40}{10}} = 40 m Q B = 20 \times \sqrt{\frac{2 h}{g}} = 30 \times \sqrt{\frac{40}{10}} = 60 m$

$P Q = 200 - 100 = u t + \frac{1}{2} a t^{2} = 0 + \frac{1}{2} \times a (100) 100 = 50 a a = 2 m s^{- 2}$

Two towers A and B , each of height 20   m are situated a distance 200   m apart. A body thrown…

Solution

Two towers A and B , each of height 20 &#160; m are situated a distance 200 &#160; m apart. A body thrown…

Solution

Two towers A and B , each of height 20 m are situated a distance 200 m apart. A body thrown…