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 t=0 Xo = 0 Yo = Vo = 0 t x = ? y = ? Vx =? Vy =? a = 1.25 m/sec² L = 200 m X
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 t=0 Xo = 0 Yo = Vo = 0 t x = ? y = ? Vx =? Vy =? a = 1.25 m/sec² L = 200 m X
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Chapter1: Units, Trigonometry. And Vectors
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Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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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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answer the part d and e
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
t=0
Xo = 0
Yo =
Vo = 0
t
x = ? y = ?
Vx =? Vy =?
a = 1.25 m/sec²
L = 200 m
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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