Question

if a body is thrown upward with vertical velocity 50ms. Calculate maximum height which body can reach​

Answer 1

Answer:

127.5 m

Explanation:

As per the provided information in the given question, we have been provided that a body is thrown vertically upwards with the velocity of 50 m/s. We've been asked to calculate the maximum height which body can reach.

Here, initial velocity is 50 m/s which is given to us. The acceleration due to gravity which is acting on it will be 9.8 m/s² (but it will be negative as the body is thrown upwards). And, the final velocity will be 0 as after particular time it'll reach to the highest point. So,

• Initial velocity, u = 50 m/s
• Acceleration due to gravity, g = ― 9.8 m/s²
• Final velocity, v = 0 m/s

Here, we can easily find the maximum height which body can reach by using the third equation of motion for fre.ely falling bodies that is $\bf v^2 - u^2 = 2gh$. Here, $\bf v$ denotes final velocity, $\bf u$ denotes initial velocity, $\bf h$ denotes height and $\bf g$ denotes acceleration due to gravity. Now, let's do calculations to calculate maximum height which body can reach.

$\twoheadrightarrow \sf { v^2 -u^2 = 2gh } \\ \\ \twoheadrightarrow \sf { (0)^2 -(50)^2 = 2 \times (-9.8) \times h } \\ \\ \twoheadrightarrow \sf { -2500 = -19.6 \times h } \\ \\\twoheadrightarrow \sf { \cancel{\dfrac{-2500}{-19.6}} = h } \\ \\ \twoheadrightarrow \boxed{\textbf {\textbf { 127.5 \; m= h }}}$

Therefore, the maximum height which body can reach is 127.5 m.

$\rule{200}2$

Answer 2

Given:

initial velocity=50 m/s

To find:

maximum height which body can reach​

Solution:

We know that,

$v^2 - u^2=2gh$

where,

$v$ is the final velocity, the final velocity is 0 m/s since the body is thrown upwards.

$u$ is the initial velocity which is 50 m/s.

$g$ is the acceleration due to gravity which is  $-9.8 m/s^2$.

$h$ is the height.

So, putting the values, we have,

$(0)^2-(50)^2=2$×$(-9.8)$×$h$

⇒$-2500=-19.6h$

⇒$h=\frac{-2500}{-19.6}$

⇒$h=127.55$

Hence the maximum height that the body can reach​ is 127.55 m.