Answered step by step
Verified Expert Solution
Link Copied!

Question

1 Approved Answer

please do in matlab A projectile is fired with an initial velocity of 250m/s at an angle of =65 relative to the ground. The projectile

please do in matlab image text in transcribed
image text in transcribed
A projectile is fired with an initial velocity of 250m/s at an angle of =65 relative to the ground. The projectile is aimed directly north. Because of a strong wind blowing to the west, the projectile also moves in this direction at a constant speed of 30m/s. Determine and plot the trajectory of the projectile until it hits the ground. For comparison, plot also (in the same figure) the trajectory that the projectile would have had if there was no wind. Hint: As shown in the figure, the coordinate system is set up such that the x and y axes point in the east and north directions, respectively. Then the motion of the projectile can be analyzed by considering the vertical direetion z and the two horizontal components x and y. Since the projectile is fired directly north, the initial velocity v0 can be resolved into a horizontal y component and a vertical z component: v0y=v0cos()andv0z=v0sin() In addition, due to the wind the projectile has a constant velocity in the negative x direction, vx=30m/s. The initial position of the projectile (x0,y0,z0) is at point (3000,0,0). In the vertical direction the velocity and position of the projectile are given by: vz=v0zgtandz=z0+v0zt21gt2 The time it takes the projectile to reach the highest point (v2=0) is: th,max=gv0z The total flying time is twice this time, ttotal=2thmax. In the horizontal direction the velocity is constant (both in the x and y directions), and the position of the projectile is given by: x=x0+vxtandy=y0+v0yt When there is no wind, only Eq. (4) will be impacted, vx=0, and the equation will be reduced to x=x0. Plot the two graphs into one figure as below

Step by Step Solution

There are 3 Steps involved in it

Step: 1

blur-text-image

Get Instant Access to Expert-Tailored Solutions

See step-by-step solutions with expert insights and AI powered tools for academic success

Step: 2

blur-text-image_2

Step: 3

blur-text-image_3

Ace Your Homework with AI

Get the answers you need in no time with our AI-driven, step-by-step assistance

Get Started

Recommended Textbook for

Concepts of Database Management

Authors: Philip J. Pratt, Joseph J. Adamski

7th edition

978-1111825911, 1111825912, 978-1133684374, 1133684378, 978-111182591

More Books

Students also viewed these Databases questions

Question

What do you find difficult in running a training session?

Answered: 1 week ago