Question

If a body's velocity and acceleration are constant, how far does it travel?

Answer 1

If an object's velocity and acceleration are constant, you can determine the distance it travels by using equations of motion. Let's assume the initial position of the object is $x_0$ and its initial velocity is $v_0$. We'll also denote the constant velocity as $v$ and the constant acceleration as $a$.

To calculate the distance traveled, you need to consider two cases:

1. Constant velocity ($a=0$): When the acceleration is zero, the object is moving with a constant velocity. In this case, the distance traveled can be determined using the formula: $d=v\cdot t$ Where $d$ is the distance traveled, $v$ is the constant velocity, and $t$ is the time.

2. Constant acceleration ($a\ne 0$): When the acceleration is constant, you can use the following equation to calculate the distance traveled: d=x−x0=v0⋅t+12⋅a⋅t2d = x - x_0 = v_0 cdot t + frac{1}{2} cdot a cdot t^2d=x−x0​=v0​⋅t+21​⋅<span class="mspace" style="marg