# How To Find Initial Velocity Given Maximum Height

How To Find Initial Velocity Given Maximum Height. Solving the equation for y max gives: Calculate the footballs initial velocity and the time taken to reach the maximum height.

This helps us to find the initial velocity. I feel that the only relevant portion to find the initial velocity is from the spot thrown to the max height where v_yo is 0. {v0x = v0 ⋅ cos(θ) v0y = v0 ⋅ sin(θ) in order to determine the maximum height reached by the projectile during its flight. you need to take a look at the vertical component of its motion.

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The initial velocity should be set to: H = maximum height (m) v 0 = initial velocity (m/s) g = acceleration due to gravity (9.80 m/s 2) θ = angle of the initial velocity from the horizontal plane (radians or degrees)

X = vtcos θ where v is the initial velocity. θ is the launch angle. The angle of launch and initial height of the object from the given question.

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X = vtcos θ where v is the initial velocity. θ is the launch angle. Its unit of measurement is “meters”.

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The other way around is simpler. Next. divide the distance by the time and write down that quotient as well.

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A ball is shot from the ground straight up into the air with initial velocity of 42 ft/sec. I broke up the components of velocity so that:

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I broke up the components of velocity so that: Finally. subtract your first quotient from your second quotient to find the initial velocity.

#### H = Maximum Height (M) V 0 = Initial Velocity (M/S) G = Acceleration Due To Gravity (9.80 M/S 2) Θ = Angle Of The Initial Velocity From The Horizontal Plane (Radians Or Degrees)

When you launch a projectile at an angle θ from the horizontal. the initial velocity of the projectile will have a vertical and a horizontal component. A football is kicked from a height of 2.0m to a maximum height of 8.0m. This is the initial upward speed $v_0 \sin \theta$ take the $\arctan$ of the ratio of initial velocities to get $\theta$.

#### The Maximum Height Of The Projectile Depends On The Initial Velocity V 0. The Launch Angle Θ. And The Acceleration Due To Gravity.

How to calculate initial speed when maximum height is given? The velocities are the time derivatives of displacement: V_x = cos(α) * v.

#### The Angle Of Launch And Initial Height Of The Object From The Given Question.

$$v_0 = \sqrt{2 g y}.$$ or $$v_0 = \sqrt{2*9.8*y}.$$ where $y$ is provided in units of meters and $v_0$ is in meters/second. So at maximum height. t = (vsinθ)/g [total flight time = 2t] V_xo=vcos (theta) v_yo=vsin (theta) however. im lost after this because i dont know t.

#### Then. Divide That Number By 2 And Write Down The Quotient You Get.

Initial speed when maximum height is given calculator uses initial_velocity = (sqrt (maximum height *2* acceleration due to gravity))/ sin (angle of projection) to calculate the initial velocity. the initial speed when maximum height is given formula is defined as the velocity of the object before acceleration. Use conservation of energy.kinetic energy of vertical component is converted to potential energy.use this to find the vertical velocity at launch.also tan theta =vy/vx.from this you can find the horizontal velocity.for final velocity. add them vectorially. Use the kinematic equations to solve.

#### The Obtained Result Is Called The Maximum Height.

Height = \frac {(initial \; Finding velocity when only given height. The initial velocity of the body is calculated when the time t=0.