Arocket moves downwards with constant speed of 800 m/s along a parabolic path. the equation of the path is yy = 600 − xx2 121. when the rocket is at a point pp, the angle thetatheta measured counterclockwise from the to this point on the path is 60o. find: (a) the and coordinates of the point pp. (b) plot the path to scale (use matlab to do this). draw the normal and tangential unit vectors �⃗ and �⃗ at the point pp. what is the angle between the tangential unit vector �⃗ and the positive direction of the

In an old-fashioned amusement park ride, passengers stand inside a 3.0-m-tall, 5.0-m-diameter hollow steel cylinder with their backs against the wall. the cylinder begins to rotate about a vertical axis. then the floor on which the passengers are standing suddenly drops away! if all goes well, the passengers will “stick” to the wall and not slide. clothing has a static coefficient of friction against steel in the range 0.60 to 1.0 and a kinetic coefficient in the range 0.40 to 0.70. part a what is the minimum rotational frequency, in rpm, for which the ride is safe? express your answer using two significant figures. f f = rpm