Answer:
At the origin (x' = 0 m)
Explanation:
Note: From the question, 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................. Equation 1
Where S = speed of the cart, d = distance covered by the cart over a certain time. t = time taken to cover the distance.
make d the subject of the equation,
d = St ................. Equation 2
Given: S = 2.0 m/s, t = 3.0 s
Substitute into equation 2
d = 2(3)
d = 6 m.
From the above, the cart covered a distance of 6 m in 3 s.
The exact position of the cart = Initial position-distance covered
x' = x-d............ Equation 3
Where x' = exact position of the cart 3 s later, x = initial position of the cart, d = distance covered by the cart in 3.0 s.
Given: x = +6.0 m, d = 6 m.
Substitute into equation 3
x' = +6-6
x' = 0 m.
Hence the cart will be at 0 m (origin) 3 s later
