Starting from the origin at time t = 0, with initial velocity 5j m s⁻¹, a particle moves in the x-y plane with a constant acceleration of (10i + 4j) ms⁻². At time t, its coordinates are (20 m, y0 m). The values of t and y0 are, respectively.
(1) 4s and 52 m
(2) 5s and 25m
(3) 2s and 18m
(4

Question

Starting from the origin at time t = 0, with initial velocity 5j m s⁻¹, a particle moves in the x-y plane with a constant acceleration of (10i + 4j) ms⁻². At time t, its coordinates are (20 m, y0 m). The values of t and y0 are, respectively.
(1) 4s and 52 m
(2) 5s and 25m
(3) 2s and 18m
(4) 2s and 24m

Accepted Answer

2s and 18m. The particle's x-coordinate can be calculated using the equation of motion, which shows that with a constant acceleration of 10 m/s², it reaches 20 m in 2 seconds. The y-coordinate can then be determined using the initial velocity and acceleration, resulting in a position of 18 m at that same time.

Solution

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