The body was thrown vertically upward at a speed of v = 25 m / s. Determine the path traveled

The body was thrown vertically upward at a speed of v = 25 m / s. Determine the path traveled by the body in meters until it hits the Earth. Disregard air resistance. Round your answer to the nearest tenth, separating the whole part from the decimal point.

Given:

v0 = 25 meters per second – initial speed of a body thrown vertically upwards;

g = 9.8 m / s2 – acceleration of gravity.

It is required to determine S (meter) – the full path that the body has traveled until it falls to the ground.

According to the condition of the problem, we do not take into account the air resistance in the solution. Then, let’s find the flight time to the maximum altitude:

t = v0 / g = 25 / 9.8 = 2.6 seconds.

That is, the maximum body height will be equal to:

H = v0 * t – g * t ^ 2/2 = 25 * 2.6 – 9.8 * 2.6 ^ 2/2 = 65 – 33.1 = 31.9 meters.

That is, the entire path is equal to:

S = 2 * H = 31.9 + 31.9 = 63.8 meters (all calculation results have been rounded to one decimal place).

Answer: the path covered by the body is 63.8 meters.