Show that if a projectile is fired at an angle from the horizontal with an initial velocity v 0 , the maximum range the projectile can travel is given by R max v 0 2 g, where g is the acceleration of gravity What is the angle for this condition

Question: Show that if a projectile is fired at an angle from the horizontal with an initial velocity v 0 , the maximum range the projectile

Show that if a projectile is fired at an angle from the horizontal with an initial velocity v₀, the maximum range
the projectile can travel is given by R_max = v₀²/g, where g is
the acceleration of gravity. What is the angle for this
condition?

Step by Step Solution

★★★★★

3.41 Rating (160 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

After time t Substit... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Engineering Mechanics Statics Questions!

A rocket is fired at an angle from the top of a tower of height ho = 50.0 m. Because of the design of the engines, its position coordinates are of the form x(t) = A + Bt2 and y(t) = C + Dt3 where A,...

A projectile is fired at an inclination of 45° to the horizontal, with a muzzle velocity of 100 feet per second. The height h of the projectile is modeled by where x is the horizontal distance of...

A projectile is fired at an angle of 30 from the horizontal with some initial speed. Firing the projectile at what other angle results in the same horizontal range if the initial speed is the same in...

Answer the Questions: 1. A hockey puck is sitting on an infinitely long ice rink. A hockey player gives the puck a strong whack with his hockey stick and the puck begins moving. Assuming the ice has...

Answer the Questions: 1. Which has greater inertia: a pickup truck (1000 kg) or a motorcycle (250 kg)? Why? 2. If the frequency of a pendulum is decreased by a factor of 3, what will happen to the...

1. A hockey puck is sitting on an infinitely long ice rink. A hockey player gives the puck a strong whack with his hockey stick and the puck begins moving. Assuming the ice has no friction, what is...

Assuming a cannon elevated10meters above the ground and with no air resistance, if a projectile is fired at an angle of 30 degrees with an initial velocity of 20 m/s, what is the maximum height above...

A bullet is fired at an angle above the horizontal with an initial velocity of 8 0 0 m / s from the top of an 8 0 m high tower. What value of will give the maximum horizontal range? Group of answer...

MATH 115 Precalculus Fall, 2017, V1.1 MATH 115 FINAL EXAMINATION This is an open-book exam. You may refer to your text and other course materials as you work on the exam, and you may use a...

Choose the non-profit organization and Identify the Mission and vision statement Current Goals & objectives. Identify the current strategy. Identify Organizational Mandates.

On January 1, 2020, PAR Inc. purchased 6000 shares (60%) of SUB Co for $300,000 cash. PAR also is required to pay $60,000 total to SUB's shareholders if future earnings exceed a certain amount. This...

Under what conditions is MANOVA used?

Show that if Mi = M and mi = m for all i, and if the cost function is C = c1n + c2nm, then minimizes the variance for fixed total cost C. Show the result with MSW and MSB first, then use Exercise...

Draw the shear and moment diagrams for the beam (a) In terms of the parameters shown; (b) Set P = 800 lb, a = 5ft, I =12ft. P

Determine the distance a as a fraction of the beam?s length L for locating roller support so that the moment in the beam at B is zero. L-

The semi circular arch is subjected to a uniform distributed load along its axis of w0 per unit length determine the internal normal force, shear force, and moment in the arch at ? = 45o.

Cullumber Infotech is a fast-growing communications company. The company did not pay a dividend last year and is not expected to do so for the next two years. Last year the companys growth...

Need help on AFN & WACC Questions! Describe and discuss each component of the AFN formula in terms of how it impacts increasing or decreasing the resulting additionalfunds needed. AFN = (A*/SOAS -...

Garcia Real Estate is involved in commercial real estate ventures throughout the United States. Some of these ventures are much riskier than other ventures because of market conditions in different...