Distance Travelled in Free Fall under Gravity given Initial Velocity and Time Solution

STEP 0: Pre-Calculation Summary
Formula Used
Distance Travelled in Free Fall = Initial Velocity*Time+1/2*[g]*Time^2
dff = u*t+1/2*[g]*t^2
This formula uses 1 Constants, 3 Variables
Constants Used
[g] - Gravitational acceleration on Earth Value Taken As 9.80665
Variables Used
Distance Travelled in Free Fall - (Measured in Meter) - Distance Travelled in Free Fall refers to an object's overall change in position in free fall.
Initial Velocity - (Measured in Meter per Second) - Initial Velocity is the velocity at which motion starts.
Time - (Measured in Second) - Time is what a clock reads, it is a scalar quantity.
STEP 1: Convert Input(s) to Base Unit
Initial Velocity: 33 Meter per Second --> 33 Meter per Second No Conversion Required
Time: 7 Second --> 7 Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
dff = u*t+1/2*[g]*t^2 --> 33*7+1/2*[g]*7^2
Evaluating ... ...
dff = 471.262925
STEP 3: Convert Result to Output's Unit
471.262925 Meter --> No Conversion Required
FINAL ANSWER
471.262925 471.2629 Meter <-- Distance Travelled in Free Fall
(Calculation completed in 00.004 seconds)

Credits

Created by Chilvera Bhanu Teja
Institute of Aeronautical Engineering (IARE), Hyderabad
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University Institute of Technology RGPV (UIT - RGPV), Bhopal
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5 Motion under Force of Gravity Calculators

Distance Travelled when Particle is Projected Upwards using Initial Velocity and Time
Go Distance Travelled moving Upwards = -Initial Velocity*Time+1/2*[g]*Time^2
Distance Travelled in Free Fall under Gravity given Initial Velocity and Time
Go Distance Travelled in Free Fall = Initial Velocity*Time+1/2*[g]*Time^2
Final Velocity in Free Fall under Gravity given Initial Velocity and Displacement
Go Final Velocity = sqrt(Initial Velocity^2+2*[g]*Displacement)
Final Velocity when Particle is Projected Upwards using Initial Velocity and Time
Go Final Velocity = -Initial Velocity+[g]*Time
Final Velocity in Free Fall under Gravity given Initial Velocity and Time
Go Final Velocity = Initial Velocity+[g]*Time

Distance Travelled in Free Fall under Gravity given Initial Velocity and Time Formula

Distance Travelled in Free Fall = Initial Velocity*Time+1/2*[g]*Time^2
dff = u*t+1/2*[g]*t^2

What is displacement?

Displacement is defined as the change in position of an object. It is a vector quantity and has a direction and magnitude. When a particle is moved from one position to another position, this change in position of an object is known as Displacement.

How to Calculate Distance Travelled in Free Fall under Gravity given Initial Velocity and Time?

Distance Travelled in Free Fall under Gravity given Initial Velocity and Time calculator uses Distance Travelled in Free Fall = Initial Velocity*Time+1/2*[g]*Time^2 to calculate the Distance Travelled in Free Fall, The Distance travelled in free fall under gravity given initial velocity and time formula is defined as the sum of product of initial velocity, time and half of product of acceleration due to gravity, square of time. Distance Travelled in Free Fall is denoted by dff symbol.

How to calculate Distance Travelled in Free Fall under Gravity given Initial Velocity and Time using this online calculator? To use this online calculator for Distance Travelled in Free Fall under Gravity given Initial Velocity and Time, enter Initial Velocity (u) & Time (t) and hit the calculate button. Here is how the Distance Travelled in Free Fall under Gravity given Initial Velocity and Time calculation can be explained with given input values -> 471.2629 = 33*7+1/2*[g]*7^2.

FAQ

What is Distance Travelled in Free Fall under Gravity given Initial Velocity and Time?
The Distance travelled in free fall under gravity given initial velocity and time formula is defined as the sum of product of initial velocity, time and half of product of acceleration due to gravity, square of time and is represented as dff = u*t+1/2*[g]*t^2 or Distance Travelled in Free Fall = Initial Velocity*Time+1/2*[g]*Time^2. Initial Velocity is the velocity at which motion starts & Time is what a clock reads, it is a scalar quantity.
How to calculate Distance Travelled in Free Fall under Gravity given Initial Velocity and Time?
The Distance travelled in free fall under gravity given initial velocity and time formula is defined as the sum of product of initial velocity, time and half of product of acceleration due to gravity, square of time is calculated using Distance Travelled in Free Fall = Initial Velocity*Time+1/2*[g]*Time^2. To calculate Distance Travelled in Free Fall under Gravity given Initial Velocity and Time, you need Initial Velocity (u) & Time (t). With our tool, you need to enter the respective value for Initial Velocity & Time and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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