A bullet flying at a speed of 300 m / s hits the sand, penetrating it to a depth of 25 cm. Determine the acceleration of the bullet.

To calculate the acceleration of a given bullet, apply the formula: S = h = V0 ^ 2 / 2a, whence a = V0 ^ 2 / 2h.

Variable values: V0 – initial bullet velocity (V0 = 300 m / s); h is the depth of penetration of the bullet into the sand (h = 25 cm; in SI h = 0.25 m).

Let’s perform the calculation: a = V0 ^ 2 / 2h = 300 ^ 2 / (2 * 0.25) = 180 * 10 ^ 3 m / s2 or 180 km / s2.

Answer: The given bullet moved in the sand with an acceleration of 180 km / s2.