From a small-bore rifle they shoot vertically upwards. Determine after what time t the bullet

From a small-bore rifle they shoot vertically upwards. Determine after what time t the bullet will fall to the ground, if it is known that the maximum height of its rise was 196 m. Neglect the air resistance.

Given:

H = 196 meters – the maximum height to which the bullet rose;

g = 9.8 m / s ^ 2 – acceleration of gravity.

It is required to determine the total fall time t, from the moment of the shot.

At maximum altitude, the speed of the bullet will be equal to the bullet. Then, the time it takes for the bullet to fall to the ground is equal to:

t1 = (2 * H / g) ^ 0.5 = (2 * 196 / 9.8) ^ 0.5 = (392 / 9.8) ^ 0.5 = 40 ^ 0.5 = 6.3 seconds …

Since the upward flight time is equal to the downward fall time, the total time will be equal to:

t = 2 * t1 = 2 * 6.3 = 12.6 seconds.

Answer: The bullet will fall to the ground 12.6 seconds after the shot.