How to write script on MATLAB for these questions?

06 Problems 10.6 PROBLEMS 341 position of a moving particle as a function of time is given by ,-0.01(30-1)-sin(2) y=0.01(30-1)2 cos(2) Plot the position of the particle for 0sI20 s. z=0.5t s . A staircase of height h is modeled by the parametric equations: r = rcos(1) y rsin (1) = ' z =- 2Ttn 20 where r-2+5sin(t /8)] /10, n 4 and h 50m is the staircase height Make a 3-D plot (shown) of the staircase (Create a vector for the domain 0 to 2 and use the plot3 command.) 50 50 y (m) 50 50 x (m 3. The ladder of a fire truck can be ele- vated (increase of angle ), rotated about the z axis (increase of angle 0), and extended (increase of r). Initially the ladder rests on the truck (-0. -0, and r 8 m). Then the ladder is moved to a new position by raising the ladder at a rate of 5 deg/s, rotating at a rate of 8 deg/s, and extending the ladder at a rate of 0.6 m/s. Determine and plot the position of the tip of the ladder for 10 s. ot Make a 3-D surface plot of the function 2 sin (0.7y) in the domain -43xs4 and -3ys3 5. Make a 3-D surface plot of the function z_-07x4-07y4 n the domain 1.4xy+14y in the domain 2S 2R, where R + y in -23xs2 and -2ys2. 6. Make a 3-D surface plot of the function -2Sx s2 and -2sys2. Make a 3-D mesh plot of the function z=022R the domain -53x35 and -53ys5 7