Question

# A streamlined and compact projectile is launched from flat ground on a valley toward a distant...

A streamlined and compact projectile is launched from flat ground on a valley toward a distant hillside at an Army testing ground in Nevada. The projectile’s initial speed is vi = 150. m/s as it leaves the cannon. The initial angle of launch θi of the projectile is unknown. The projectile makes impact high on the distant hill a time t = 3.00 s after its departure. From GPS sensors we know that the site of impact is a straight-line horizontal distance of Δx = 360. m from the launch site, albeit an unknown height H above the launch site. Assume an idealized situation in which air resistance has no appreciable effect on the projectile’s trajectory.
a) What is vix , the x-component of the initial velocity vector?

b) Find the initial angle of launch θi of the projectile.

c) What is viy , the y-component of the initial velocity vector?

d) How high H above the launch site does the projectile land?

e) What is vfx , the x-component of the final velocity vector right before impact?

f) What is vfy , the y-component of the final velocity vector right before impact?

There is no acceleration in the horizontal direction so the horizontal component of velocity doesn't change during the projectile motion.

For the detailed solution please find the attached image below

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