Question

This projectile is launched on a 3-4-5 slope with an initial velocity v. of 100 feet per second at strikes a wall that is a distance d = 200 feet from the launch point. Find the height hat which the projectile strikes the wall. Report your answer in ft. hmax h

please report answers in atleast 3 significant figures. thank you, will upvote!

Answer 1

Given,

Initial velocity of the projectile, v_{​​​​​​0} = 100 ft/s

Distance of the wall from the point of projection, d = 200 ft

Let,

g = 32.174 ft/s^{​​​​​​2} be the acceleration due to gravity acting along negative y-axis as shown in figure below

't' be the time required by the projectile to travel distance'd'

Wall 4.( tano = 3 بي ام %e- + 3 ร = 36 830 ง สัน d.

BY FGUATION OF TAARIS LATIONAL MOTION, A LONG X-AXIS, Na = No cosa Az = 0 = ACCELERATION :. d = het + k aut » 200 = (N. JOJO) + I (o)t² 200 = (100 LOS 36.870) * to > & 느 200 -2.50 100 do 36.870 80 ALONG J-AXIS, w = No sin e edy =-g ch=by oft I 2 My f och = (1. sin @) t -4gt F4100 8:0) 2:51-C h (100 sim 36.871 x32:124 X 2.5 254) a)h = 150 100.544 ch = 44. 456 ft

Hence the height at which the projectile strikes the wall at a distance of 200 ft, h = 49.456 ft