A body moving from a state of rest has an acceleration, the modulus of which is a = 1.0m / s2. Find the path

A body moving from a state of rest has an acceleration, the modulus of which is a = 1.0m / s2. Find the path S that the body will cover in the time interval ∆t = 10 s from the beginning of the movement.

Let some body begin its movement from a state of rest. This means that its initial speed (for t = 0 s) is equal to v 0 = 0 m / s. The body has acceleration, the modulus of which is a = 1.0 m / s ^ 2. To find the path S that the body will pass in the time interval ∆t = 10 s from the beginning of the movement, we use the formula to determine the path of uniformly accelerated rectilinear movement:
S = v₀ ∙ ∆t + a ∙ (∆t) ^ 2/2.
Substitute the values of physical quantities in the calculation formula and perform the calculations:
S = 0 m / s ∙ 10 s + 1.0 m / s ^ 2 ∙ (10 s) ^ 2/2;
S = 50 m.
Answer: the distance covered is 50 meters.