2-27. Derive the equation for the range of a projectile fired on level ground, u sin 20 R where R is the range, 0 is the angle of elevation, and u is the initial velocity. Show that the maximum range is achieved when 0 = 45°.

2-27. Derive the equation for the range of a projectile fired on level ground, u sin 20 R where R is the range, 0 is the angle of elevation, and u is the initial velocity. Show that the maximum range is achieved when 0 = 45°.

Name: 2-27. Derive the equation for the range of a projectile fired on leve
Uploaded: 2024-03-20T06:57:47.000Z
Channel: Bartleby
Description: 2-27. Derive the equation for the range of a projectile fired on level ground,u* sin 20Rwhere R is the range, 0 is the angle of elevation, and u is the initialvelocity. Show that the maximum range is achieved when 0 =45°.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Similar questions

v sin 20, Q1) Show that R = for the range of a projectile on level ground by finding the time t at which y becomes zero and substituting this value of t into the expression for r- x,, noting that R = x-xg.Then find the maximum range obtainable by a person if he has a take off speed of 10 m/s? Given(2 sin 0 cos 0 = sin 20)
A projectile is shot at ground level at an angle of 30° with the horizontal. It has an initial velocity of 110 m/s. Determine its velocity (m/s) 3 seconds after firing. ROUND OFF TO TWO DECIMAL PLACES.
A projectile is launched vertically upward with initial velocity vo. Assume that the resistance of air is proportional to the square of the velocity. Calculate the maximum height it reaches and the velocity of the projectile when it hits the ground on its return. Ymáx = in (1 + ), kví v = vove//v3 + v Ve = /mg/c Утӑх 2k Ans.
A tennis ball is launched from ground level at an angle of 50 degrees. The tennis ball stays in the air for 4.32 seconds. What range does the tennis ball reach? (answer in meters) Bal Budet Type your answer... LDASTER
An object moving in the xy plane with an acceleration vector given by a- (70)i (-90) m т 9.00 s2 and an initial velocity vector given by - (10") (20"); Vo m 13.00- m 22.0 %3D S Determine the velocity of the object when it reaches its maximum y-coordinate. Express your answer in unit vector notation.
Needs Complete typed solution with 100 % accuracy.
6) A projectile is fired at an inclination of 45° to the horizontal, with a muzzle velocity of 100 -32x feet per second. The height h of the projectile is modeled by h(x) = 1002 +x where x is the horizontal distance of the projectile from the firing point. When the height of the projectile is 50 feet above the ground, how far has it traveled horizontally?
See photo for full question
v sin 26, Q1) Show thatR = for the range of a projectile on level ground by finding the timet at which y becomes zero and substituting this value of t into the expression for x- x,, noting that R = x- x,.Then find the maximum range obtainable by a person if he has a take-off speed of 10 m/s? Given(2 sin 0 cos 0 sin 20) %3D
Now, the target moved further away and the sniper must compensate, primarily adjusting the angle of its rifle. If the new angle is now 21° but everything remains the same (150m high building, 1800km/h initial velocity), which of the following solution will provide the time for the bullet to reach the maximum height? O (500cos21)/9.81 O (500sin21)/9.81 O (1800sin21)/9.81 O (1800cos21)/9.81
A particle moves according to the equation:v(t) = eγt – 1 Solve for the unknown(s).
Problem 4: A soccer ball is kicked from ground level across a level soccer field with initial velocity vector vo = 8 m/s at 0= 16° above horizontal. The soccer ball feels wind resistance which causes it to slow horizontally with constant acceleration magnitude a, = 0.54 m/s, while leaving its vertical motion unchanged. Assume any other air resistance is negligible. Choose the positive direction ofx from initial point towards final point of flight. Use a Cartesian coordinate system with the origin at the ball's initial position.