A particle is projected vertically upwards from point on the ground. It takes time , to reach point , but it still continues to move up. It takes further time to reach the ground from point then the height of point from the ground is:
Step. 1 Given Data,
Total time of particle =
Step 2. Formula used,
Equations of motion, ,
Displacement Equation,.
Particle is projected vertically upwards so is the initial velocity
is the acceleration
is the time taken
is the final velocity
Step 3. Calculation of height of point B from the ground
Time for A to B is and time from B to ground is .
So, the time period for B to C would be
Now applying eqn of motion for point A to a point where height is maximum
Acceleration is considered
.
,
.
Initial velocity in the displacement equation of motion,
The equation is,
,
is the required height of point .
Since
,
We will get,
Therefore .
The height of the point from the ground is .