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
Displacement, Velocity and Acceleration
In classical mechanics, kinematics deals with the motion of a particle. It deals only with the position, velocity, acceleration, and displacement of a particle. It has no concern about the source of motion.
Linear Displacement
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.
![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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F581d761e-8f07-4ec2-a716-1609f6d3f1a7%2Fd48457c1-4a4b-4d95-bc09-56339ec22fcd%2Fc20otrq.jpeg&w=3840&q=75)
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