Question

Chapter 03, Problem 35 Chalkboard Video A rocket is fired at a speed of 61.0 m/s from ground level, at an angle of 75.0 above the horizontal. The rocket is fired toward an 47.0-m high wall, which is located 19.0 m away. The rocket attains its launch speed in a negligibly short period of time, after which its engines shut down and the rocket coasts. By how much does the rocket clear the top of the wall? 1 Units Number Significant digits are disabled; the tolerance is +/-3% 1 m alolnjs Chapter 03, Problem 38 Multiple-Concept Example 4 deals with a situation similar to that presented here. A marble is thrown horizontally with a speed of 22.6 m/s from the top of a building. When it strikes the ground, the marble has a velocity that makes an angle of 55 ° with the horizontal. From what height above the ground was the marble thrown? 1 Units Number Significant digits are disabled; the tolerance is +/-3%

Answer 1

35 Ans::

1447m 19M Soli- given speed(0) = 61 m/s angle (0) - 750 wall height = 47m distance au = 19m, May=4-47 - Time taken for rocket to reach 19m distance is k g H = Vort+0.5 ant? = Vont 6: Qx=0 in horizontal) CV. coloxt »t=x (Vocasa =19/6160195 (t = 1.25] e For vertical motion, we have .y= Voyt +0.5 Qyt? - Vo Sings)xt -0.59.8)¢? = G1 Sin fox 1.2-0.5x9,8X(1,2)2 y = 63.64 m) .:. The rocket clears the wall by a distance of Ay=4-47 Ay=63-64-47 = 16.6um - Ay = 16.64m)