Range of Projectile Motion Solution

STEP 0: Pre-Calculation Summary
Formula Used
Range of Motion = (Initial Velocity^2*sin(2*Angle of Projection))/Acceleration due to Gravity
Rmotion = (u^2*sin(2*θpr))/g
This formula uses 1 Functions, 4 Variables
Functions Used
sin - Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse., sin(Angle)
Variables Used
Range of Motion - (Measured in Meter) - Range of Motion is defined as the total horizontal distance travelled by the object in a projectile motion.
Initial Velocity - (Measured in Meter per Second) - Initial Velocity is the velocity at which motion starts.
Angle of Projection - (Measured in Radian) - Angle of Projection is angle made by the particle with horizontal when projected upwards with some initial velocity.
Acceleration due to Gravity - (Measured in Meter per Square Second) - Acceleration due to Gravity is acceleration gained by an object because of gravitational force.
STEP 1: Convert Input(s) to Base Unit
Initial Velocity: 35 Meter per Second --> 35 Meter per Second No Conversion Required
Angle of Projection: 0.4 Radian --> 0.4 Radian No Conversion Required
Acceleration due to Gravity: 9.8 Meter per Square Second --> 9.8 Meter per Square Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Rmotion = (u^2*sin(2*θpr))/g --> (35^2*sin(2*0.4))/9.8
Evaluating ... ...
Rmotion = 89.6695113624403
STEP 3: Convert Result to Output's Unit
89.6695113624403 Meter --> No Conversion Required
FINAL ANSWER
89.6695113624403 89.66951 Meter <-- Range of Motion
(Calculation completed in 00.004 seconds)

Credits

Created by Himanshi Sharma
Bhilai Institute of Technology (BIT), Raipur
Himanshi Sharma has created this Calculator and 4 more calculators!
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National Institute Of Technology (NIT), Hamirpur
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7 Projectile Motion ( object thrown at some angle 'theta' ) Calculators

Height of Object given Horizontal Distance
Go Height of Crack = Horizontal Distance*tan(Angle of Projection)-(Acceleration due to Gravity*Horizontal Distance^2)/(2*(Initial Velocity*cos(Angle of Projection))^2)
Initial Speed given Maximum Height
Go Initial Velocity = (sqrt(Maximum Height*2*Acceleration due to Gravity))/sin(Angle of Projection)
Initial Velocity using Range
Go Initial Velocity = sqrt(Acceleration due to Gravity*Range of Motion/sin(2*Angle of Projection))
Maximum Height Attained by Object
Go Height of Crack = ((Initial Velocity*sin(Angle of Projection))^2)/(2*Acceleration due to Gravity)
Range of Projectile Motion
Go Range of Motion = (Initial Velocity^2*sin(2*Angle of Projection))/Acceleration due to Gravity
Initial Speed using Time of Flight
Go Initial Velocity = (Time of Flight*Acceleration due to Gravity)/(2*sin(Angle of Projection))
Time of Flight
Go Time of Flight = (2*Initial Velocity*sin(Angle of Projection))/Acceleration due to Gravity

Range of Projectile Motion Formula

Range of Motion = (Initial Velocity^2*sin(2*Angle of Projection))/Acceleration due to Gravity
Rmotion = (u^2*sin(2*θpr))/g

What is Projectile Motion ?

Projectile motion is a type of two-dimensional motion or motion in a plane. It is assumed that the only force acting on a projectile (the object experiencing projectile motion) is the force due to gravity.

How to Calculate Range of Projectile Motion?

Range of Projectile Motion calculator uses Range of Motion = (Initial Velocity^2*sin(2*Angle of Projection))/Acceleration due to Gravity to calculate the Range of Motion, The Range of Projectile Motion formula is defined as the horizontal distance covered during the complete projectile motion. Range of Motion is denoted by Rmotion symbol.

How to calculate Range of Projectile Motion using this online calculator? To use this online calculator for Range of Projectile Motion, enter Initial Velocity (u), Angle of Projection pr) & Acceleration due to Gravity (g) and hit the calculate button. Here is how the Range of Projectile Motion calculation can be explained with given input values -> 89.66951 = (35^2*sin(2*0.4))/9.8.

FAQ

What is Range of Projectile Motion?
The Range of Projectile Motion formula is defined as the horizontal distance covered during the complete projectile motion and is represented as Rmotion = (u^2*sin(2*θpr))/g or Range of Motion = (Initial Velocity^2*sin(2*Angle of Projection))/Acceleration due to Gravity. Initial Velocity is the velocity at which motion starts, Angle of Projection is angle made by the particle with horizontal when projected upwards with some initial velocity & Acceleration due to Gravity is acceleration gained by an object because of gravitational force.
How to calculate Range of Projectile Motion?
The Range of Projectile Motion formula is defined as the horizontal distance covered during the complete projectile motion is calculated using Range of Motion = (Initial Velocity^2*sin(2*Angle of Projection))/Acceleration due to Gravity. To calculate Range of Projectile Motion, you need Initial Velocity (u), Angle of Projection pr) & Acceleration due to Gravity (g). With our tool, you need to enter the respective value for Initial Velocity, Angle of Projection & Acceleration due to Gravity 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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