Height to Velocity Calculator:
Enter the values of height, H(m) and acceleration due to gravity, a(m/s2) to determine the value of velocity, V(m/s).
Height to Velocity Formula:
The height to velocity formula is used to calculate the velocity of an object falling freely from a certain height under the influence of gravity, assuming no air resistance.
Velocity, V(m/s) in metres per seconds is calculated by taking the square root of twice the product of the height, H(m) metres from which the object falls and the acceleration due to gravity, a(m/s2) in metres per second squared and then multiplying by the acceleration due to gravity, a(m/s2).
Velocity, V(m/s) = √( 2 * H(m) * a(m/s2) ) * a(m/s2)
V(m/s) = velocity in metres per seconds, m/s.
H(m) = height in metres, m.
a(m/s2) = acceleration in metres per second squared, m/s2.
Height to Velocity Calculation:
1.Calculate the velocity of an object dropped from a height of 20 metres.
Given: H(m) = 20m, a(m/s2) = 9.81m/s2.
Velocity, V(m/s) = √( 2 * H(m) * a(m/s2) ) * a(m/s2)
V(m/s) = √( 2 * 20 * 9.81) * 9.81
V(m/s) = 19.8 * 9.81
V(m/s) = 194. 327m/s.
2.An object falls from rest and reaches a velocity of 20 metres per second by the time it hits the ground. Assuming the acceleration due to gravity (a) is approximately 9.81 m/s2 calculate the height from which the object was dropped.
Given: V(m/s) = 20m/s, a(m/s2) = 9.81m/s2.
Velocity, V(m/s) = √( 2 * H(m) * a(m/s2) ) * a(m/s2)
H(m) = V2(m/s) / 2 * a(m/s2)
H(m) = 202 / 2 * 9.81
H(m) = 400 / 19.62
H(m) = 20.39m.