- #1

subhradeep mahata

- 120

- 13

## Homework Statement

There is an inclined plane which is inclined at an angle of 37° to the horizontal. A projectile is projected perpendicularly to the inclined plane at a velocity of 50m/s such that it strikes a wall kept at the foot of the inclined plane perpendicularly. Find the time taken to reach the wall.

## Homework Equations

## The Attempt at a Solution

I have correctly done this problem when we consider the x and y-axis vertically (wrt ground). The trick in this problem is that it has reached the maximum height just when it strikes the wall.

But, I am not getting the correct answer when I consider the x and y-axis along the inclined plane. My "faulty" method is described below:

As it reaches max height, y component of velocity decreases from 50 to 0. So, applying v=u+at in y-direction,

0=50+(-gcos37°)(t)

or, t=6.25 sec , which is 2.25 seconds more than what i got as the correct answer in my first method.

Please see where i went wrong.