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Use the equation square root of (gravity times distance)/(2 sin theta*cos theta) when the height difference between the initial and final is negligible, meaning the same. If different heights, use the same without the 2 on the bottom. Use the equation square root of (gravity times distance)/(2 sin theta*cos theta) when the height difference between the initial and final is negligible, meaning the same. If different heights, use the same without the 2 on the bottom.
To find the velocity of an object given its launch angle and highest point, you can use the kinematic equation for projectile motion. By using the trigonometric functions sine and cosine, you can calculate the vertical and horizontal components of the initial velocity. From there, combine these components to find the magnitude and direction of the velocity at the highest point.
If this is a problem associated with gravity, then gravity will accelerate an object toward earth. And, because it is at some height at the beginning of its fall, we can make some calculations to see how fast it is going at any given moment (air resistance aside) and also how far it has fallen. There is a gravitational force associated with the earth. It pulls on stuff. And that force is fairly constant from place to place. We assign it a fixed value called the gravimetric constant (g0, gn or sometimes just g), and it is said to be 9.80665 m/s2 or about 32.174 ft/s2 as agreed upon by international concensus. We have to have something to work with because of the slight variations in gravity at different places around the globe. And g is the value we go with. Think of it as an "average" if you want to. With the gravitational constant, we can determine that the velocity at the end of one second of fall will be about 32.174 feet per second. After two seconds, it is moving 64.248 feet per second. But that's finding velocity given time. If we know how high the object was at the beginning of its fall, we can, with the gravitational constant, calculate how fast it will be going after any distance it has fallen. There is a formula for that, of course. vfinal2 = vinitial2 + [2g (sfinal - sinitial)] The square of the final velocity equals the square of the initial velocity plus the product of twice the acceleration due to gravity times the difference in the altitudes or heights of the falling body from beginning to end.
How do you find velocity given angle and highest point of object?
Let's say this is a problem about a ball shot out of a cannon. When the cannon is fired, the ball has 2 components of its velocity, vertical and horizontal.
The initial vertical velocity = V * sin θ , Vi = V * sin θ
When the ball reaches the top of its path it stops going up, which means the vertical velocity = 0 m/s.
The final vertical velocity for the up trip = 0 m/s,Vf = 0
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Average velocity = (vi + vf) ÷ 2
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Average velocity = (V * sin θ + 0) ÷ 2
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Eq.#1..Average velocity = (V * sin θ) ÷ 2
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Due to gravity, the ball's vertical velocity decreases by 9.8 m/s each second.
Vi = V * sin θ
Vf = 0
Change in velocity = Vfinal - Vinitial
Acceleration due to gravity = -9.8 m/s^2
Vfinal - Vinitial = acceleration * time
(0 - V * sin θ) ÷ -9.8 = time
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Time = -V * sin θ ÷ -9.8
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Eq.#2..Time = V * sin θ ÷ 9.8
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Distance = Average velocity * time
The distance upward is Height.
Eq.#3..Height = Average velocity * time
Substitute Eq.#1 for average velocity and Eq.#2 for Time into Eq.#3.
Height = [(V * sin θ) ÷ 2]* [V * sin θ ÷ 9.8]
Eq.#4.. Height = (V^2 * sin^2 θ) ÷ (2 * 9.8)
The general equation would be
Eq.#5.. Height = (V^2 * sin^2 θ) ÷ (2 * g), g = acceleration due to gravity.
Solve Eq.#5 for velocity;… multiply both sides by 2g
Height * 2g = (V^2 * sin^2 θ)…divide both sides by sin^2 θ
(Height * 2g) ÷ sin^2 θ = V^2
V^2 = (Height * 2g) ÷ sin^2 θ
Eq.#6…V = [(Height * 2g) ÷ sin^2 θ]^0.5
Now if we had values of height and angle, we could find V
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What is the product of an object mass and velosity?
The product of an object's mass and velocity is its momentum. Momentum is a vector quantity that describes the quantity of motion of an object and is given by the product of its mass and velocity.
What is the si unit for average velocity?
The SI unit for average velocity is meters per second (m/s). It represents the change in position of an object over a given time interval.
What is called the energy due to object's motion?
Kinetic energy is the energy associated with an object's motion. It depends on the object's mass and velocity, with the formula given by KE = 0.5 * mass * velocity^2.
What is the definition of velocity time graph?
A velocity-time graph shows how an object's velocity changes over time. The slope of the graph represents the object's acceleration, and the area under the curve represents the total displacement of the object. It is a useful tool for understanding an object's motion.
When an object is in motion how can the average velocity be calculated?
The average velocity of an object in motion can be calculated by dividing the total displacement by the total time taken. It gives an overall idea of how fast the object is moving over a given distance.
What is the highest kinetic energy?
The highest kinetic energy is typically observed in objects with large mass and high velocity. In a given scenario, an object with the highest velocity would have the highest kinetic energy.
How fast an object is going in a given direction?
An object's speed in a given direction is its velocity. Velocity is a vector quantity that includes both speed and direction. It describes how fast and in which direction an object is moving.
What is rate which an object moves in given direction given?
The rate at which an object moves in a given direction is called velocity. Velocity is a vector quantity that includes both the speed of the object and the direction in which it is moving. It is measured in units such as meters per second or miles per hour.
What is The rate which an object moves in a given direction?
The rate at which an object moves in a given direction is its velocity. Velocity is a vector quantity that includes both the speed of the object and its direction. It is typically measured in units like meters per second or kilometers per hour.
What is the definition of vertical velocity?
Vertical means up and down; so the vertical velocity is an indication of how quickly an object is rising or falling. If the object is moving at an angle (such as an airplane taking off or landing) then it would be more accurate to call it the vertical component of the object's velocity.
What name is given to the product of mass and velocity of a body?
The name given to the product of mass and velocity of a body is momentum. Momentum is a vector quantity that represents the motion of an object and is calculated by multiplying the mass of the object by its velocity.
What is the name given to the change in speed and or direction of an object?
Velocity
What is the rate at which an object is moving at a given instant in time is called?
The rate at which an object is moving at a given instant in time is called instantaneous velocity. This is the object's velocity at a specific moment in time, taking into account both speed and direction of motion.
The linear momentum of an object can be calculated by multiplying the mass of the object by?
its velocity. The equation for linear momentum is given by p = m * v, where p is the momentum, m is the mass, and v is the velocity of the object.
How do you calculate height when given velocity?
To calculate height when given velocity, you can use the equation ( h = (v^2 \sin^2 \theta) / (2g) ), where ( v ) is the initial velocity, ( \theta ) is the launch angle, and ( g ) is the acceleration due to gravity. This equation applies when the object is launched horizontally.
What is a instantaneous velocity?
Instantaneous velocity is the velocity of an object at a specific instant in time. It is the rate of change of position of an object with respect to time at that exact moment. This instant velocity may differ from the average velocity over a given time interval.
How to find the height of the projectile launch if the angle velocity and the distance are given?
Get the value of initial velocity. Get the angle of projection. Break initial velocity into components along x and y axis. Apply the equation of motion .
