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What Is The Angle For Which The Maximum Height Reached And Corresponding Range Equal? Trust The Answer

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What Is The Angle For Which The Maximum Height Reached And Corresponding Range Equal?
What Is The Angle For Which The Maximum Height Reached And Corresponding Range Equal?

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What is the angle for which max height reached and corresponding range are equal?

Answer. If the angle of projection is 75.96 degrees the maximum height is equal to the horizontal range.

For what angle of projection the range of projectile is equal to maximum height?

Detailed Solution

Maximum Range: It is the longest distance covered by the object during projectile motion. When the angle of projection is 45°, the maximum range is obtained.


The angle of projection at which the horizontal range and maximum height of projectile are equal is

The angle of projection at which the horizontal range and maximum height of projectile are equal is
The angle of projection at which the horizontal range and maximum height of projectile are equal is

Images related to the topicThe angle of projection at which the horizontal range and maximum height of projectile are equal is

The Angle Of Projection At Which The Horizontal Range And Maximum Height Of Projectile Are Equal Is
The Angle Of Projection At Which The Horizontal Range And Maximum Height Of Projectile Are Equal Is

At what angle is a maximum height reached?

As you can see from the figure, the larger the initial launch angle, the closer the object comes to maximum height and the longer the flight time. The largest range will be experienced at a launch angle up to 45 degrees.

How does the angle of projection affect the range and maximum height of a projectile?

Just like the case of the time of flight, we see that maximum height reached by the projectile depends on both initial speed and the angle of projection (θ). Greater the initial velocity and greater the angle of projection from horizontal direction, greater is the height attained by the projectile.

What is maximum height in projectile motion?

The maximum height of the object is the highest vertical position along its trajectory. The horizontal displacement of the projectile is called the range of the projectile. The range of the projectile is dependent on the initial velocity of the object.

Why does a 45 degree angle gives the longest range?

The sine function reaches its largest output value, 1, with an input angle of 90 degrees, so we can see that for the longest-range punts 2θ = 90 degrees and, therefore, θ = 45 degrees. A projectile, in other words, travels the farthest when it is launched at an angle of 45 degrees.

When a body is projected at an angle theta The maximum vertical height attained?

When a body is projected at an angle ‘θ’,the maximum vertical height attained θ’,the maximum vertical height attained is one fourth of the horizontal range.


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How maximum horizontal range and maximum height are related for a projectile?

When the range is maximum, the height H reached by the projectile is H = Rmax /4. The relation between horizontal range and maximum height is R = 4Hcotθ.

At which angle height of projectile is minimum?

The horizontal range will be minimum if the angle of projection is 90°.


Projectile Motion: Finding the Maximum Height and the Range

Projectile Motion: Finding the Maximum Height and the Range
Projectile Motion: Finding the Maximum Height and the Range

Images related to the topicProjectile Motion: Finding the Maximum Height and the Range

Projectile Motion: Finding The Maximum Height And The Range
Projectile Motion: Finding The Maximum Height And The Range

At which angle will the projectile have equal range?

Two launch angles that add to 90° will result in the same range when launched at the same speed.

How do you find the maximum height?

h = v 0 y 2 2 g . This equation defines the maximum height of a projectile above its launch position and it depends only on the vertical component of the initial velocity.

What is the maximum height of the projectile Brainly?

Answer: The maximum height of the projectile is when the projectile reaches zero vertical velocity. From this point the vertical component of the velocity vector will point downwards. The horizontal displacement of the projectile is called the range of the projectile and depends on the initial velocity of the object.

What is angle of projection?

(i) Angle of projection – It is the angle with the surface with which the projectile is projected. The maximum range angle of the projectile should be 450. This application is used for various purposes to send the particle to maximum distance.

When a projectile is thrown for maximum range the equation of its trajectory is?

y=xtanθ-12gx2u2cos2θ.

This equation is used for calculating diverse phenomenon inclusive of finding the minimum velocity required to make a stone reach a certain point at most range for a given projection velocity and the angle of projection required for maximum range.

What is maximum range?

The greatest distance a weapon can fire without consideration of dispersion. Dictionary of Military and Associated Terms.

What is the best angle to throw a ball at for maximum range?

If there were no air resistance, you would get the maximum distance by throwing at a 45° angle (Figure 3). But there is air resistance, and the faster the ball is thrown, the more air resistance there is. Also, the longer the ball is in the air, the more time there is for air resistance to slow down the ball.


At what angle to the horizontal should an object be projected so that the maximum height

At what angle to the horizontal should an object be projected so that the maximum height
At what angle to the horizontal should an object be projected so that the maximum height

Images related to the topicAt what angle to the horizontal should an object be projected so that the maximum height

At What Angle To The Horizontal Should An Object Be Projected So That The Maximum Height
At What Angle To The Horizontal Should An Object Be Projected So That The Maximum Height

For Which angle is the maximum height H of the projectile greatest explain why?

Higher launch angles have higher maximum height

Since steeper launch angles have a larger vertical velocity component, increasing the launch angle increases the maximum height. (see figure 5 above).

What is the time of flight of a projectile?

The time of flight of projectile motion is defined as the time from when the object is projected to the time it reaches the surface.

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