2. You are standing on the centre point (0,0,0) of a football pitch which you have marked out in a grid with horizontal and vertical lines every metre. A ball travels from one goal to the other at a constant speed of 10ms ¹. At time t=0 it passes you. (i) Where will the ball be at t=2s? (ii) What speed will it be travelling at at t=2s? Suppose the match is being watched by somebody moving in a bus, travelling in the opposite direction to the ball at 10ms¹ and they pass by you at the same moment as the ball. Use the Gallilean transformations to figure out: (i) where the ball is in their frame when the time (in their frame) is t=0s (ii) where the ball is in their frame when the time (in their frame) is t=2s (iii) the speed of the ball in their frame when the time (in their frame) is t=2s Now suppose that the bus is travelling in the same direction as the ball. Use the Gallilean transformations to figure out:
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.
PLEASE ANSWER ALL PARTS OF QUESTION
![2. You are standing on the centre point (0,0,0) of a football pitch which you have marked
out in a grid with horizontal and vertical lines every metre. A ball travels from one goal to
the other at a constant speed of 10ms ¹. At time t=0 it passes you.
(i) Where will the ball be at t=2s?
(ii) What speed will it be travelling at at t=2s?
Suppose the match is being watched by somebody moving in a bus, travelling in the
opposite direction to the ball at 10ms¹ and they pass by you at the same moment as the
ball. Use the Gallilean transformations to figure out:
(i) where the ball is in their frame when the time (in their frame) is t=0s
(ii) where the ball is in their frame when the time (in their frame) is t=2s
(iii) the speed of the ball in their frame when the time (in their frame) is t=2s
Now suppose that the bus is travelling in the same direction as the ball. Use the Gallilean
transformations to figure out:
(iv) where the ball is in their frame when the time (in their frame) is t=0s
(v) where the ball is in their frame when the time (in their frame) is t=2s
(vi) the speed of the ball in their frame when the time (in their frame) is t=2s](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff4f07154-b925-4e63-90d9-97801b2f1491%2Fbddd7b14-982c-4ff2-9b8e-9335f6cfb7fc%2Fgp6u8pk_processed.jpeg&w=3840&q=75)
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