Aparticle leaves the origin with an initial velocity of 4.90 m/s in the x direction, and moves with constant acceleration ax = -1.50 m/s^2 and ay = 3.00 m/s^2. how far does the particle move in the x direction before turning around?

it will move by d = 8.00 m in x direction before it will turn back

Explanation:

Here the initial velocity of particle is along +x direction

it is given as

now its acceleration is given as

now when it turns back then the velocity in x direction will become zero

so we will say

so it will move by d = 8.00 m in x direction before it will turn back

it would be c. predictability