A stone of mass 5kg is thrown vertically upwards with velocity 10ms final calculate the height.

To calculate the height reached by the stone, we need to use the equations of motion for vertical motion.

1. First, let's find the initial velocity (u) and final velocity (v) using the given information:

Given:
Mass of the stone (m) = 5 kg
Initial velocity (u) = 10 m/s
Final velocity (v) = 0 m/s (at the highest point)

2. Next, let's find the acceleration (a) using the equation:
v^2 = u^2 + 2as

Rearranging the equation to solve for acceleration:
a = (v^2 - u^2) / (2s)

Given:
u = 10 m/s
v = 0 m/s
s = ?

a = (0^2 - 10^2) / (2s)
a = -100 / (2s)
a = -50 / s

3. Now, let's find the height (s) using the equation of motion for vertical motion:
v^2 = u^2 + 2as

Rearranging the equation to solve for the height:
s = (v^2 - u^2) / (2a)

Given:
u = 10 m/s
v = 0 m/s
a = -50 / s

s = (0^2 - 10^2) / (2 * (-50 / s))
s = 100 / (100 / s)
s = 100s / 100
s = s

From the equation, we see that the height reached by the stone is equal to the value of s.

Therefore, the height reached by the stone is the same as the value of "s" and can't be determined with the given information.

To calculate the height reached by the stone, we need to use the equations of motion. The key equation we will use is the kinematic equation for vertical motion:

vf^2 = vi^2 + 2ad

Where:
vf = final velocity of the stone (which is 0, as it reaches its maximum height)
vi = initial velocity of the stone (10 m/s upwards)
a = acceleration due to gravity (which is approximately -9.8 m/s^2, taking negative since it acts downwards)
d = displacement or height reached

Rearranging the equation, we get:

0 = (10 m/s)^2 + 2(-9.8 m/s^2) * d

Simplifying further, we have:

0 = 100 m/s^2 - 19.6 m/s^2 * d

Multiplying -19.6 m/s^2 with d and rearranging the equation, we find:

19.6 m/s^2 * d = 100 m/s^2

To find d (the height), divide both sides of the equation by 19.6 m/s^2:

d = 100 m/s^2 / 19.6 m/s^2

Calculating this, we get:

d ≈ 5.1 meters

Therefore, the stone reaches a height of approximately 5.1 meters.

V^2 = Vo^2 + 2g*h.

V = 0, Vo = 10 m/s, g = -9.8 m/s^2, h = ?.