Maximum Height Attained for Inclined Projectile Formula

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Maximum Height is the highest point reached by an object under the influence of gravity or other external forces during its motion. Check FAQs
Hmax=(usin(θinclination))22gcos(αpl)
Hmax - Maximum Height?u - Initial Velocity?θinclination - Angle of Inclination?g - Acceleration due to Gravity?αpl - Angle of Plane?

Maximum Height Attained for Inclined Projectile Example

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With units
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Here is how the Maximum Height Attained for Inclined Projectile equation looks like with Values.

Here is how the Maximum Height Attained for Inclined Projectile equation looks like with Units.

Here is how the Maximum Height Attained for Inclined Projectile equation looks like.

9.4826Edit=(35Editsin(0.3827Edit))229.8Editcos(0.405Edit)
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Maximum Height Attained for Inclined Projectile Solution

Follow our step by step solution on how to calculate Maximum Height Attained for Inclined Projectile?

FIRST Step Consider the formula
Hmax=(usin(θinclination))22gcos(αpl)
Next Step Substitute values of Variables
Hmax=(35m/ssin(0.3827rad))229.8m/s²cos(0.405rad)
Next Step Prepare to Evaluate
Hmax=(35sin(0.3827))229.8cos(0.405)
Next Step Evaluate
Hmax=9.48257764606956m
LAST Step Rounding Answer
Hmax=9.4826m

Maximum Height Attained for Inclined Projectile Formula Elements

Variables
Functions
Maximum Height
Maximum Height is the highest point reached by an object under the influence of gravity or other external forces during its motion.
Symbol: Hmax
Measurement: LengthUnit: m
Note: Value can be positive or negative.
Initial Velocity
Initial Velocity is the velocity of an object at the start of a motion, describing the object's initial state of motion.
Symbol: u
Measurement: SpeedUnit: m/s
Note: Value should be greater than 0.
Angle of Inclination
Angle of Inclination is the angle between the horizontal and the inclined plane, measured counterclockwise from the horizontal.
Symbol: θinclination
Measurement: AngleUnit: rad
Note: Value can be positive or negative.
Acceleration due to Gravity
Acceleration due to Gravity is the rate of change of velocity of an object under the influence of gravitational force, typically measured in meters per second squared.
Symbol: g
Measurement: AccelerationUnit: m/s²
Note: Value should be greater than 0.
Angle of Plane
Angle of Plane is the angle between the plane of motion and the horizontal plane, measured in a clockwise direction from the horizontal plane.
Symbol: αpl
Measurement: AngleUnit: rad
Note: Value can be positive or negative.
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.
Syntax: sin(Angle)
cos
Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.
Syntax: cos(Angle)

Other formulas in Projectile Motion category

​Go Time of Flight for Inclined Projectile
T=2usin(θinclination)gcos(αpl)
​Go Maximum Range of Flight for Inclined Projectile
Rmotion=u2(1-sin(αpl))g(cos(αpl))2
​Go Maximum Height Attained by Object
vmax=(usin(θpr))22g
​Go Time of Flight
T=2usin(θpr)g

How to Evaluate Maximum Height Attained for Inclined Projectile?

Maximum Height Attained for Inclined Projectile evaluator uses Maximum Height = ((Initial Velocity*sin(Angle of Inclination))^2)/(2*Acceleration due to Gravity*cos(Angle of Plane)) to evaluate the Maximum Height, Maximum Height Attained for Inclined Projectile formula is defined as the highest point reached by an object projected at an angle to the horizontal, influenced by the initial velocity, angle of inclination, and acceleration due to gravity, providing a crucial aspect in understanding the kinematics of motion. Maximum Height is denoted by Hmax symbol.

How to evaluate Maximum Height Attained for Inclined Projectile using this online evaluator? To use this online evaluator 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.

FAQs on Maximum Height Attained for Inclined Projectile

What is the formula to find Maximum Height Attained for Inclined Projectile?
The formula of Maximum Height Attained for Inclined Projectile is expressed as Maximum Height = ((Initial Velocity*sin(Angle of Inclination))^2)/(2*Acceleration due to Gravity*cos(Angle of Plane)). Here is an example- 8.711203 = ((35*sin(0.3827))^2)/(2*9.8*cos(0.405)).
How to calculate Maximum Height Attained for Inclined Projectile?
With Initial Velocity (u), Angle of Inclination inclination), Acceleration due to Gravity (g) & Angle of Plane pl) we can find Maximum Height Attained for Inclined Projectile using the formula - Maximum Height = ((Initial Velocity*sin(Angle of Inclination))^2)/(2*Acceleration due to Gravity*cos(Angle of Plane)). This formula also uses Sine (sin), Cosine (cos) function(s).
Can the Maximum Height Attained for Inclined Projectile be negative?
Yes, the Maximum Height Attained for Inclined Projectile, measured in Length can be negative.
Which unit is used to measure Maximum Height Attained for Inclined Projectile?
Maximum Height Attained for Inclined Projectile is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Maximum Height Attained for Inclined Projectile can be measured.
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