1. Tardigrade
  2. Question
  3. Physics
  4. A stone is projected from a horizontal plane. It attains maximum height ‘H’ and strikes a stationary smooth wall and falls on the ground vertically below the maximum height. Assuming the collision to be elastic the height of the point on the wall where ball will strike is <img class=img-fluid question-image alt=image src=https://cdn.tardigrade.in/img/question/physics/0d8f7745c4fa26e742c813e65c3e3363-.png />

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

Q. A stone is projected from a horizontal plane. It attains maximum height ‘H’ and strikes a stationary smooth wall and falls on the ground vertically below the maximum height. Assuming the collision to be elastic the height of the point on the wall where ball will strike is
image

Motion in a Plane

Solution:

image
$H=\frac{1}{2} g (2t)^{2}=2gt^{2} \, \dots (1)$
$h=H-\frac{1}{2}\,gt^{2} \dots (2)$
Solving eqns $(1)$ and $(2)$, we get
$h=H -\frac{H}{4}=\frac{3H}{4}$