Problem 4: A rocket starts from rest at the origin. The rocket accelerates up an inclined plane of with an angle = 35.0", a length L = 200 m, and an acceleration a = 1.25 m/sec². At a time t the rocket reaches the top of the inclined plane at the location (x, y) with a speed v. See the figure below. a) What is x? Answer: 163.8 m. b) What is y? Answer: 114.7 m. c) What is v, the x-component of the rocket at the top of the inclined plane? Answer: 18.3 m/sec. d) What is vy, the y-component of the rocket at the top of the inclined plane? e) Answer: 12.8 m/sec. y t=0 Xo = 0 Yo=0 y t x =? y =? Vy =? Vy =? /a= 1.25 m/sec² L = 200 m X Vo = 0 Let's now re-define the time to t= 0. At this instant, the acceleration of the rocket shuts off and now we have the rocket in projectile motion. The final properties of the rocket from the rocket at the top of the incline now make the initial properties for the projectile motion. See the figure below. f) What is ymax, the highest elevation of the rocket above the ground? Answer: 123.1 m. g) What is t, the time at which the rocket hits the ground? Answer: 6.3 sec. What is x, the x-position at which the rocket hits the ground? Answer: 279.1 m. h) Re-define as t = 0 xo Yo Vox Voy - LIE |Ymax =? t =? y=0x=? X
Problem 4: A rocket starts from rest at the origin. The rocket accelerates up an inclined plane of with an angle = 35.0", a length L = 200 m, and an acceleration a = 1.25 m/sec². At a time t the rocket reaches the top of the inclined plane at the location (x, y) with a speed v. See the figure below. a) What is x? Answer: 163.8 m. b) What is y? Answer: 114.7 m. c) What is v, the x-component of the rocket at the top of the inclined plane? Answer: 18.3 m/sec. d) What is vy, the y-component of the rocket at the top of the inclined plane? e) Answer: 12.8 m/sec. y t=0 Xo = 0 Yo=0 y t x =? y =? Vy =? Vy =? /a= 1.25 m/sec² L = 200 m X Vo = 0 Let's now re-define the time to t= 0. At this instant, the acceleration of the rocket shuts off and now we have the rocket in projectile motion. The final properties of the rocket from the rocket at the top of the incline now make the initial properties for the projectile motion. See the figure below. f) What is ymax, the highest elevation of the rocket above the ground? Answer: 123.1 m. g) What is t, the time at which the rocket hits the ground? Answer: 6.3 sec. What is x, the x-position at which the rocket hits the ground? Answer: 279.1 m. h) Re-define as t = 0 xo Yo Vox Voy - LIE |Ymax =? t =? y=0x=? X
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The term "displacement" refers to when something shifts away from its original "location," and "linear" refers to a straight line. As a result, “Linear Displacement” can be described as the movement of an object in a straight line along a single axis, for example, from side to side or up and down. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Linear displacement is usually measured in millimeters or inches and may be positive or negative.
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Transcribed Image Text:Problem 4:
A rocket starts from rest at the origin. The rocket accelerates up an inclined plane of with an
angle 0 = 35.0°, a length L = 200 m, and an acceleration a = 1.25 m/sec². At a time t the
rocket reaches the top of the inclined plane at the location (x, y) with a speed v. See the figure
below.
a) What is x? Answer: 163.8 m.
b) What is y? Answer: 114.7 m.
c)
What is v₂, the x-component of the rocket at the top of the inclined plane?
Answer: 18.3 m/sec.
d) What is vy, the y -component of the rocket at the top of the inclined plane?
e) Answer: 12.8 m/sec.
y
y
t = 0
Xo = 0
Yo=0
0
t
x = ? y =?
Vx =? Vy = ?
a = 1.25 m/sec²
L = 200 m
Vo = 0
Let's now re-define the time to t = 0. At this instant, the acceleration of the rocket shuts off
and now we have the rocket in projectile motion. The final properties of the rocket from the
rocket at the top of the incline now make the initial properties for the projectile motion.
See the figure below.
f) What is ymax, the highest elevation of the rocket above the ground? Answer: 123.1 m.
g) What is t, the time at which the rocket hits the ground? Answer: 6.3 sec.
h) What
is x, the x-position at which the rocket hits the ground? Answer: 279.1 m.
x
Re-define as t = 0
xo Yo
LIE
Vox Poyr
|Ymax =?
t=?
y = 0 x =?
x
Transcribed Image Text:-b+√b²-4ac
2a
x = x₂ + V₁xt + ²axt², V₁₁x = V₁x + axt, (v₁₁x)² = (v₁x)² + 2axx, t ==
у = V₁ + V₁¸yt + ² α¸t², Vf₁y = V₁y+āÿt, (Vƒ‚y)² = (v₁y)² + 2a,ÿ
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