When the cart travels towards the origin, the magnitude of its exact position reduces with time.
The cart will be at -2 m (origin) 2s later.
When the cart travels towards the origin, the magnitude of its exact position reduces with time.
The formula of speed is given as
S = d/t ................. (1)
Where S = speed of the cart,
d = distance covered by the cart over a certain time.
t = time taken to cover the distance.
Where d the subject of the equation,
d = St ................. (2)
Given: S = 2.0 m/s, t = 2.0 s
Substitute into (2)
d = 2(2)
d = 4 m.
From the above, the cart covered a distance of 4 m in 2s.
The exact position of the cart = Initial position - distance covered
x' = x - d ............ (3)
Where x' = exact position of the cart 2s later,
x = initial position of the cart, and
d = distance covered by the cart in 2.0 s
Given: x = 2.0 m, d = 4 m.
Substitute into (3)
x' = 2.0 - 4
x' = -2 m.
Therefore the cart will be at -2 m (origin) 2s later.
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