A rocket launched vertically upward at a speed of 85 m / s hits a glider soaring at an altitude

A rocket launched vertically upward at a speed of 85 m / s hits a glider soaring at an altitude of 300 m. Determine the speed at which the rocket hit the glider.

Data: V1 (the speed with which the given missile was launched) = 85 m / s; h (the height at which the glider was located) = 300 m.

Constants: g (acceleration of gravity; acceleration of a rocket) ≈ 10 m / s2.

To determine the speed of the rocket at the moment it hits the glider, we use the formula: S = h = (V1 ^ 2 – V2 ^ 2) / 2g, whence V2 = √ (V1 ^ 2 – 2 * g * S).

Let’s calculate: V2 = √ (85 ^ 2 – 2 * 10 * 300) = 35 m / s.

Answer: The rocket hit the glider at a speed of 35 m / s.