Question

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?

Answer #1

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

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...

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...

A projectile is launched 3.0 meters above the ground. The
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You launch a projectile toward a tall building, from a position
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Two seconds after being projected from ground level, a
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Answer questions a, b, and c below. Show all work and details.
Give explanation for your answer.
a) What is the horizontal range...

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