If an object has no horizontal velocity at time t=0 and starts moving with constant acceleration, we can determine its position at a later time, t=t1, using the equations of motion.
Let's denote the initial position of the object as x0, the acceleration as a, and the time at which we want to find the position as t1.
The equation that relates position, initial velocity, acceleration, and time is:
x = x0 + v0 * t + (1/2) * a * t^2
Given that the initial velocity v0 is zero, this simplifies to:
x = x0 + (1/2) * a * t^2
Therefore, the position of the object at time t=t1 will be:
x = x0 + (1/2) * a * t1^2
This equation provides the position of the object at time t1, given that it starts with no initial horizontal velocity and undergoes constant acceleration.