If an object has no horizontal velocity at time t=0 and starts moving with constant acceleration, we can determine its position at time t=t1 by using the equations of motion.
Let's denote the initial position of the object as x0, the initial velocity as v0 (which is zero in this case), the constant acceleration as a, and the time as t1.
The equation that relates position, initial velocity, time, and acceleration is given by:
x = x0 + v0 * t + (1/2) * a * t^2
Since the initial velocity is zero, the equation simplifies to:
x = x0 + (1/2) * a * t^2
Substituting t1 for t, we have:
x = x0 + (1/2) * a * t1^2
Therefore, the position of the object at time t=t1 would be x0 + (1/2) * a * t1^2.