Maximum Height Attained for Inclined Projectile Solution

STEP 0: Pre-Calculation Summary
Formula Used
Maximum Height = ((Initial Velocity*sin(Angle of Inclination))^2)/(2*Acceleration due to Gravity*cos(Angle of Plane))
Hmax = ((u*sin(θinclination))^2)/(2*g*cos(αpl))
This formula uses 2 Functions, 5 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)
cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(Angle)
Variables Used
Maximum Height - (Measured in Meter) - Maximum Height is denoted as the largest distance an object covers in vertical direction in a projectile motion.
Initial Velocity - (Measured in Meter per Second) - Initial Velocity is the velocity at which motion starts.
Angle of Inclination - (Measured in Radian) - Angle of Inclination is formed by the inclination of one line to another; measured in degrees or radians.
Acceleration due to Gravity - (Measured in Meter per Square Second) - Acceleration due to Gravity is acceleration gained by an object because of gravitational force.
Angle of Plane - (Measured in Radian) - Angle of Plane denotes the angle made by the plain.
STEP 1: Convert Input(s) to Base Unit
Initial Velocity: 35 Meter per Second --> 35 Meter per Second No Conversion Required
Angle of Inclination: 1.5 Radian --> 1.5 Radian No Conversion Required
Acceleration due to Gravity: 9.8 Meter per Square Second --> 9.8 Meter per Square Second No Conversion Required
Angle of Plane: 0.7 Radian --> 0.7 Radian No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Hmax = ((u*sin(θinclination))^2)/(2*g*cos(αpl)) --> ((35*sin(1.5))^2)/(2*9.8*cos(0.7))
Evaluating ... ...
Hmax = 81.3073161400195
STEP 3: Convert Result to Output's Unit
81.3073161400195 Meter --> No Conversion Required
FINAL ANSWER
81.3073161400195 81.30732 Meter <-- Maximum Height
(Calculation completed in 00.004 seconds)

Credits

Created by Mayank Tayal
National Institute of Technology (NIT), Durgapur
Mayank Tayal has created this Calculator and 25+ more calculators!
Verified by Anshika Arya
National Institute Of Technology (NIT), Hamirpur
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3 Inclined Projectile Motion Calculators

Maximum Height Attained for Inclined Projectile
Go Maximum Height = ((Initial Velocity*sin(Angle of Inclination))^2)/(2*Acceleration due to Gravity*cos(Angle of Plane))
Maximum Range of Flight for Inclined Projectile
Go Range of Motion = (Initial Velocity^2*(1-sin(Angle of Plane)))/(Acceleration due to Gravity*(cos(Angle of Plane))^2)
Time of Flight for Inclined Projectile
Go Time of Flight = (2*Initial Velocity*sin(Angle of Inclination))/(Acceleration due to Gravity*cos(Angle of Plane))

Maximum Height Attained for Inclined Projectile Formula

Maximum Height = ((Initial Velocity*sin(Angle of Inclination))^2)/(2*Acceleration due to Gravity*cos(Angle of Plane))
Hmax = ((u*sin(θinclination))^2)/(2*g*cos(αpl))

What is Inclined Projectile Motion ?

Projectile motion on an inclined plane is one of the various projectile motion types. The main distinguishing aspect is that points of projection and return are not on the same horizontal plane. There are two possibilities : (i) the point of return is at a higher level than the point of projection i.e projectile is thrown up the incline and (ii) the Point of return is at a lower level than a point of projection i.e. projectile is thrown down the incline.

How to Calculate Maximum Height Attained for Inclined Projectile?

Maximum Height Attained for Inclined Projectile calculator uses Maximum Height = ((Initial Velocity*sin(Angle of Inclination))^2)/(2*Acceleration due to Gravity*cos(Angle of Plane)) to calculate the Maximum Height, The Maximum Height attained for Inclined Projectile formula is defined when the projectile reaches zero vertical velocity. From this point, the vertical component of the velocity vector will point downwards. Maximum Height is denoted by Hmax symbol.

How to calculate Maximum Height Attained for Inclined Projectile using this online calculator? To use this online calculator for Maximum Height Attained for Inclined Projectile, enter Initial Velocity (u), Angle of Inclination inclination), Acceleration due to Gravity (g) & Angle of Plane pl) and hit the calculate button. Here is how the Maximum Height Attained for Inclined Projectile calculation can be explained with given input values -> 81.30732 = ((35*sin(1.5))^2)/(2*9.8*cos(0.7)).

FAQ

What is Maximum Height Attained for Inclined Projectile?
The Maximum Height attained for Inclined Projectile formula is defined when the projectile reaches zero vertical velocity. From this point, the vertical component of the velocity vector will point downwards and is represented as Hmax = ((u*sin(θinclination))^2)/(2*g*cos(αpl)) or Maximum Height = ((Initial Velocity*sin(Angle of Inclination))^2)/(2*Acceleration due to Gravity*cos(Angle of Plane)). Initial Velocity is the velocity at which motion starts, Angle of Inclination is formed by the inclination of one line to another; measured in degrees or radians, Acceleration due to Gravity is acceleration gained by an object because of gravitational force & Angle of Plane denotes the angle made by the plain.
How to calculate Maximum Height Attained for Inclined Projectile?
The Maximum Height attained for Inclined Projectile formula is defined when the projectile reaches zero vertical velocity. From this point, the vertical component of the velocity vector will point downwards is calculated using Maximum Height = ((Initial Velocity*sin(Angle of Inclination))^2)/(2*Acceleration due to Gravity*cos(Angle of Plane)). To calculate Maximum Height Attained for Inclined Projectile, you need Initial Velocity (u), Angle of Inclination inclination), Acceleration due to Gravity (g) & Angle of Plane pl). With our tool, you need to enter the respective value for Initial Velocity, Angle of Inclination, Acceleration due to Gravity & Angle of Plane 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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