A projectile is fired into the air from the top of a cliff of height h=214 m above a valley. Its initial velocity is vo = 57.0 m/s at an angle 0 = 62.0° above the horizontal. How far from the base of the cliff does the projectile land? (Ignore any effects due to air resistance.) Range = ?

A projectile is fired into the air from the top of a cliff of height h=214 m above a valley. Its initial velocity is vo = 57.0 m/s at an angle 0 = 62.0° above the horizontal. How far from the base of the cliff does the projectile land? (Ignore any effects due to air resistance.) Range = ?

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter3: Motion In Two Dimensions

Section: Chapter Questions

Problem 39AP: A rocket is launched at an angle of 53.0 above the horizontal with an initial speed of 100. m/s. The...

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The theory of special relativity explains the connection between space and time to objects that move in a straight line at a constant speed. The objects move at the speed of light. When an object approaches light speed, its mass is endless and cannot move faster than light. The most crucial postulate of Einstein's special relativity is that the laws of nature do not change in each frame of reference.

Question

#2 using any of these equations

2. A projectile is fired into the air from the top of
a cliff of height h=214 m above a valley.
Its initial velocity is vo = 57.0 m/s at an
angle 0 = 62.0° above the horizontal.
How far from the base of the cliff does the
projectile land?
(Ignore any effects due to air resistance.)
Range = ?

Kinematics:
Vx = Vxo + axt
(x – xo) = vxot +;axt?
vž – vžo = 2a,(x – xo)
Vy = Vyo + Ayt
(y – yo) = vyot +ayt?
vž – vžo = 2a,(y – yo)
1
%3D
7 = xî + yĵ
di
う=
Vzî + vyĵ
dt
axî + ayĵ
dt
E =
= m
dt
di
(constant mass)
dt
EF = må, (constant mass)
Kinetic Friction Force:
fk = HxN
Static Friction Force: fs < HsN
g = 9.80 m/s²

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