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Assuming the simple model where the object is projected with an initial velocity of u metres/second at an angle of x to the horizontal, and that the only force acting on it after that is gravitational acceleration, g = 9.81 metres/second^2, then h = [u*sin(x)]^2/(2*g) metres.
If the launch is vertical then x = pi/2 radians and h = u^2/(2*g) metres.
What else can I help you with?
How high does projectile go?
The maximum height of a projectile depends on its initial velocity and launch angle. In ideal conditions, the maximum height occurs when the launch angle is 45 degrees, reaching a height equal to half the maximum range of the projectile.
How can one determine the maximum height reached by a projectile?
To determine the maximum height reached by a projectile, you can use the formula: maximum height (initial vertical velocity)2 / (2 acceleration due to gravity). This formula calculates the height based on the initial vertical velocity of the projectile and the acceleration due to gravity.
How can one determine the maximum height reached in projectile motion?
To determine the maximum height reached in projectile motion, you can use the formula: textMaximum height left(fracv02 sin2(theta)2gright) where ( v0 ) is the initial velocity, ( theta ) is the launch angle, and ( g ) is the acceleration due to gravity. By plugging in these values, you can calculate the maximum height the projectile reaches.
What happens to the velocity of a projectile at its maximum height?
The velocity of a projectile at its maximum height is zero. This is because at the highest point of the projectile's trajectory, all of its initial kinetic energy has been converted into potential energy, causing the velocity to momentarily become zero.
What is the magnitude of the velocity of a vertical projectile at its maximum height is equal to?
The horizontal component of a projectile's velocity doesn't change, until the projectile hits somethingor falls to the ground.The vertical component of a projectile's velocity becomes [9.8 meters per second downward] greatereach second. At the maximum height of its trajectory, the projectile's velocity is zero. That's the pointwhere the velocity transitions from upward to downward.
The angle of projection of a projectile for which the horizontal range and maximum height are equal?
45 degrees.
What is the relationship between range and height of projectile?
The range of a projectile is influenced by both the initial velocity and launch angle, while the height of the projectile is affected by the launch angle and initial height. Increasing the launch angle typically decreases the range but increases the maximum height of the projectile.
What is the maximum height reached by a projectile shot straight up from the Earth's surface at a speed of 10000 km/hr?
The maximum height reached by a projectile shot straight up from the Earth's surface at a speed of 10000 km/hr is approximately 138.9 kilometers.
What is the maximum height reached by a projectile shot straight up from the Earth's surface at a speed of 8000 km/hr?
The maximum height reached by a projectile shot straight up from the Earth's surface at a speed of 8000 km/hr is approximately 222.22 kilometers.
What is the maximum height reached by a projectile shot straight up from the Earth's surface at a speed of 9000 km/hr?
The maximum height reached by a projectile shot straight up from the Earth's surface at a speed of 9000 km/hr is approximately 225 kilometers.
How does the launch angle relate to the initial speed of the projectile?
The launch angle and initial speed of a projectile are both factors that determine the range and height of the projectile. A higher launch angle with the same initial speed will typically result in a longer range but lower maximum height. Conversely, a lower launch angle with the same initial speed will result in a shorter range but a higher maximum height.
What is the maximum height reached by a projectile shot straight up from the Earth's surface at a speed of 1.20104 km/hr?
The maximum height reached by a projectile shot straight up from the Earth's surface at a speed of 1.20 x 104 km/hr is approximately 72 kilometers.
