MATLAB question The range of a projectile launched at velocity V and angle q is R=2...

MATLAB question

The range of a projectile launched at velocity V and angle q

is R=2 V² sin(q) cos(q)

Find the range if V=20m/s and q=30 degrees (5 pts)
If the uncertainty in the launch angle q = 30 +/- 2 degrees, what is the uncertainty of the range

What should the accuracy of the launch angle have be to keep the uncertainty of the range to within 5%.

Solutions

Expert Solution

%Matlab code forprojectile range
clear all
close all
%formula for Range of projectile motion
R=@(v,q) (v^2*sin(2*q))/9.8;
fprintf('\tFormula for Range of projectile motion= (v^2*sin(2*q))/9.8\n')
rr=R(20,deg2rad(30));
fprintf('For v=20 and q=30 degree the range =%f m\n',rr)

un1=R(20,deg2rad(32));
un2=R(20,deg2rad(28));

fprintf('Uncertainity of range for launch angle (30+-2) is %f to %f\n',un1,un2)

%%%%%%%%%%%%%%%%%% End of Code %%%%%%%%%%%%%%%

Colby Messinger answered 1 year ago

Next > < Previous

Related Solutions

A projectile is launched with an initial velocity vo at an angle theta above the horizontal....

A projectile is launched with an initial velocity vo at an angle theta above the horizontal. In terms of vo, theta and acceleration due to gravity g, determine for the projectile i) the time to reach its maximum height and ii) its maximum height.

Q.3. Projectile Motion (30) A projectile is launched at 40.0 m/s at an angle 30 degree...

Q.3. Projectile Motion (30) A projectile is launched at 40.0 m/s at an angle 30 degree from ground to ground. o Write a function that will return the time of flight based on V_{0} and theta. o Find N time split (suppose N=20) and put those time in Tf[]. o Calculate the height y of the projectile for those time and put them in Y[]. Language C++ code

A projectile is launched with a speed of 45 m/s at an angle of 35 degrees...

A projectile is launched with a speed of 45 m/s at an angle of 35 degrees above the horizontal from the top of a wall. The projectile lands 250m from the base of the wall. a.) Determine the height of the wall. b.) Determine the impact velocity of the projectile

A projectile is launched at an angle of 60 degrees to the horizontal from 6.5ft above...

A projectile is launched at an angle of 60 degrees to the horizontal from 6.5ft above the ground at an initial speed of 100 ft/sec. Assume the x-axis is horizontal, the positive y axis is vertical (opposite g), the ground is horizontal, and the only gravitational force acta on the object. Answer parts A through D. A) Find the velocity - v(t) and position - r(t) vectors for t greater than or equal to 0. B) Graph the trajectory C)...

a projectile is launched in the horizontal direction at an angle of 0 degrees. vertical height...

a projectile is launched in the horizontal direction at an angle of 0 degrees. vertical height of 0.992meters and a horizontal displacement of 3.1311+-0.051205m what is the time of the fall? do not forget u certainties

A projectile is launched with an initial speed of 60 m/s at an angle of 35°...

A projectile is launched with an initial speed of 60 m/s at an angle of 35° above the horizontal. The projectile lands on a hillside 4.0 s later. Neglect air friction. (a) What is the projectile's velocity at the highest point of its trajectory? m/s (b) What is the straight-line distance from where the projectile was launched to where it hits its target? m

Consider a projectile launched at a height h feet above the ground and at an angle...

Consider a projectile launched at a height h feet above the ground and at an angle θ with the horizontal. If the initial velocity is v0 feet per second, the path of the projectile is modeled by the parametric equations x = t(v0 cos(θ)) and y = h + (v0 sin(θ))t − 16t2. The center field fence in a ballpark is 10 feet high and 400 feet from home plate. The ball is hit h = 3 feet above the...

A projectile is launched with speed v0 and angle θ. Derive an expression for the projectile's...

A projectile is launched with speed v0 and angle θ. Derive an expression for the projectile's maximum height h. A baseball is hit with a speed of 35.0 m/s . Calculate its height if it is hit at an angle of 30.0 ∘ . A baseball is hit with a speed of 35.0 m/s . Calculate its distance traveled if it is hit at an angle of 30.0 ∘ . A baseball is hit with a speed of 35.0 m/s...

A projectile is launched from ground level at angle θ and speed v_0 into a headwind...

A projectile is launched from ground level at angle θ and speed v_0 into a headwind that causes a constant horizontal acceleration of magnitude a opposite the direction of motion. Find an expression in terms of a and g for the launch angle that gives maximum range. The answer is θ = 45 - (1/2)tan^-1(a/g) The problem that I'm having is I have no idea how to get to that answer. Please do the problem and tell me where you...

A cannonball is launched with a velocity of 52.5 ms at an angle of 47.2◦ above...

A cannonball is launched with a velocity of 52.5 ms at an angle of 47.2◦ above the horizontal on a flat firing range. Ignoring air resistance for every part, determine (a) the maximum height reached by the cannonball, (b) the total time in the air, (c) the total horizontal distance covered, (d) and the speed and direction (angle) of the cannonball 1.50 s after firing.

Subjects