We will use one simple concept: At maximum height, the vertical component of velocity is zero. That is, at max height, only horizontal velocity remains.
We will only use the function of
We need max height. For that, we will need to find the time at which vertical component of velocity becomes zero.
To find vertical component of velocity, we differentiate vertical displacement with respect to time.
We have:
So, we see that vertical component of velocity becomes zero at . We can put t = 5 in (1) to find displacement corresponding to that point, which is the Max Height
Answers & Comments
This is a question of Projectile Motion.
We will use one simple concept: At maximum height, the vertical component of velocity is zero. That is, at max height, only horizontal velocity remains.
We will only use the function of
We need max height. For that, we will need to find the time at which vertical component of velocity becomes zero.
To find vertical component of velocity, we differentiate vertical displacement with respect to time.
We have:
So, we see that vertical component of velocity becomes zero at
Thus, The Maximum Height Reached is 25 meters.