2. A spaceship in a videogame is programmed to move following the quantities below where velocity v is in m/s, time t is in seconds, and position vector r is in meters. The spaceship moves at constant acceleration in both axes. The spaceship starts moving from the position (5,-3). f (2t + 5)i + (t- 3)j V = 2ti + (2 + t)j (a) At what position will the spaceship be after 3.5 seconds. (Ans: (17, -2.5)) (b) What will be the velocity of the spaceship at moment it reaches 18.0 m in the x-axis? Express the answer in unit-vector form. (Ans: V = 81 + 4j) %3D

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Chapter1: Units, Trigonometry. And Vectors
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2. A spaceship in a videogame is programmed to move following the quantities below
where velocity v is in m/s, time t is in seconds, and position vector r is in meters. The
spaceship moves at constant acceleration in both axes. The spaceship starts moving
from the position (5,-3).
f (2t + 5)i + (t- 3)j
V = 2ti + (2 + t)j
(a) At what position will the spaceship be after 3.5 seconds. (Ans: (17, -2.5))
(b) What will be the velocity of the spaceship at moment it reaches 18.0 m in the
x-axis? Express the answer in unit-vector form. (Ans: V = 81 + 4j)
%3D
Transcribed Image Text:2. A spaceship in a videogame is programmed to move following the quantities below where velocity v is in m/s, time t is in seconds, and position vector r is in meters. The spaceship moves at constant acceleration in both axes. The spaceship starts moving from the position (5,-3). f (2t + 5)i + (t- 3)j V = 2ti + (2 + t)j (a) At what position will the spaceship be after 3.5 seconds. (Ans: (17, -2.5)) (b) What will be the velocity of the spaceship at moment it reaches 18.0 m in the x-axis? Express the answer in unit-vector form. (Ans: V = 81 + 4j) %3D
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