# Numerical Analysis

#### Onupoma Islam

##### New member
Assuming that drag is proportional to the square of velocity, we can model the velocity of a
falling object like a parachutist with the following differential equation:
ππ£/ππ‘ = π -(ππ/π)*π£^2
where π£ is velocity (m/s), π‘ is time (s), π is the acceleration due to gravity (9.81 m/s^2), ππ is a
second-order drag coefficient (kg/m), and m is mass (kg). Solve for the velocity and distance
fallen by a 90 kg object with a drag coefficient of 0.225 kg/m. if the initial height is 1 km,
determine when it hits the ground. Obtain your solution with
(i) Eulerβs method
(ii) The fourth-order RK method

#### Subhotosh Khan

##### Super Moderator
Staff member
Assuming that drag is proportional to the square of velocity, we can model the velocity of a
falling object like a parachutist with the following differential equation:
ππ£/ππ‘ = π -(ππ/π)*π£^2
where π£ is velocity (m/s), π‘ is time (s), π is the acceleration due to gravity (9.81 m/s^2), ππ is a
second-order drag coefficient (kg/m), and m is mass (kg). Solve for the velocity and distance
fallen by a 90 kg object with a drag coefficient of 0.225 kg/m. if the initial height is 1 km,
determine when it hits the ground. Obtain your solution with
(i) Eulerβs method
(ii) The fourth-order RK method
Please show us what you have tried and exactly where you are stuck.

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