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

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Distance Traveled in Free Fall refers to an object's overall change in position in free fall. Check FAQs

d f = u \cdot t + \frac{1}{2} \cdot [g] \cdot t^{2}

d_f - Distance Traveled in Free Fall?u - Initial Velocity?t - Time?[g] - Gravitational acceleration on Earth?

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

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Here is how the Distance Travelled in Free Fall under Gravity given Initial Velocity and Time equation looks like with Values.

Here is how the Distance Travelled in Free Fall under Gravity given Initial Velocity and Time equation looks like with Units.

Here is how the Distance Travelled in Free Fall under Gravity given Initial Velocity and Time equation looks like.

471.2629 = 33 \cdot 7 + \frac{1}{2} \cdot 9.8066 \cdot 7^{2}

471.2629m = 33m/s \cdot 7s + \frac{1}{2} \cdot 9.8066m/s² \cdot {7s}^{2}

471.2629 = 33 \cdot 7 + \frac{1}{2} \cdot 9.8066 \cdot 7^{2}

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

Follow our step by step solution on how to calculate Distance Travelled in Free Fall under Gravity given Initial Velocity and Time?

FIRST Step Consider the formula

d f = u \cdot t + \frac{1}{2} \cdot [g] \cdot t^{2}

Next Step Substitute values of Variables

∴

d f = 33m/s \cdot 7s + \frac{1}{2} \cdot [g] \cdot {7s}^{2}

Next Step Substitute values of Constants

∴

d f = 33m/s \cdot 7s + \frac{1}{2} \cdot 9.8066m/s² \cdot {7s}^{2}

Next Step Prepare to Evaluate

∴

d f = 33 \cdot 7 + \frac{1}{2} \cdot 9.8066 \cdot 7^{2}

Next Step Evaluate

∴

d f = 471.262925m

LAST Step Rounding Answer

∴

d f = 471.2629m

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

Variables

Constants

Distance Traveled in Free Fall

Distance Traveled in Free Fall refers to an object's overall change in position in free fall.

Symbol: d_f

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Distance Traveled in Free Fall

Initial Velocity

Initial Velocity is the velocity at which motion an object starts.

Symbol: u

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Initial Velocity

Time

Time is what a clock reads, it is a scalar quantity.

Symbol: t

Measurement: TimeUnit: s

Note: Value should be greater than 0.

Formulas to find Time

Gravitational acceleration on Earth

Gravitational acceleration on Earth means that the velocity of an object in free fall will increase by 9.8 m/s2 every second.

Symbol: [g]

Value: 9.80665 m/s²

Other formulas in Motion under Force of Gravity category

Go Final Velocity in Free Fall under Gravity given Initial Velocity and Time

v f = u + [g] \cdot t

Go Final Velocity in Free Fall under Gravity given Initial Velocity and Displacement

v f = \sqrt{u^{2} + 2 \cdot [g] \cdot d}

Go Final Velocity when Particle is Projected Upwards using Initial Velocity and Time

v f = - u + [g] \cdot t

Go Distance Travelled when Particle is Projected Upwards using Initial Velocity and Time

d u = - u \cdot t + \frac{1}{2} \cdot [g] \cdot t^{2}

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

Distance Travelled in Free Fall under Gravity given Initial Velocity and Time evaluator uses Distance Traveled in Free Fall = Initial Velocity*Time+1/2*[g]*Time^2 to evaluate the Distance Traveled in Free Fall, Distance Travelled in Free Fall under Gravity given Initial Velocity and Time formula is defined as the total distance an object travels under the sole influence of gravity, considering the initial velocity and time of the fall, providing a fundamental concept in understanding the motion of objects under gravitational forces. Distance Traveled in Free Fall is denoted by d_f symbol.

How to evaluate Distance Travelled in Free Fall under Gravity given Initial Velocity and Time using this online evaluator? To use this online evaluator for Distance Travelled in Free Fall under Gravity given Initial Velocity and Time, enter Initial Velocity (u) & Time (t) and hit the calculate button.

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

What is the formula to find Distance Travelled in Free Fall under Gravity given Initial Velocity and Time?

The formula of Distance Travelled in Free Fall under Gravity given Initial Velocity and Time is expressed as Distance Traveled in Free Fall = Initial Velocity*Time+1/2*[g]*Time^2. Here is an example- 471.2629 = 33*7+1/2*[g]*7^2.

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

With Initial Velocity (u) & Time (t) we can find Distance Travelled in Free Fall under Gravity given Initial Velocity and Time using the formula - Distance Traveled in Free Fall = Initial Velocity*Time+1/2*[g]*Time^2. This formula also uses Gravitational acceleration on Earth constant(s).

Can the Distance Travelled in Free Fall under Gravity given Initial Velocity and Time be negative?

No, the Distance Travelled in Free Fall under Gravity given Initial Velocity and Time, measured in Length cannot be negative.

Which unit is used to measure Distance Travelled in Free Fall under Gravity given Initial Velocity and Time?

Distance Travelled in Free Fall under Gravity given Initial Velocity and Time is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Distance Travelled in Free Fall under Gravity given Initial Velocity and Time can be measured.

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