Question

Ракета, выпущенная вертикально вверх со скоростью 85 м/с, попадает в парящий на высоте 300м планер. Определите скорость, с которой ракета ударилась о планер

Answer 1

m*V0^2/2=m*g*h+m*V^2/2    V=sqrt(V0^2-2*g*h)=sqrt(85^2-2*10*300)=35 м/с

Answer 2

Calculation of the Speed at which the Rocket Strikes the Glider

To determine the speed at which the rocket strikes the glider, we need to consider the initial velocity of the rocket and the height at which the glider is hovering.

Given: - Initial velocity of the rocket (u) = 85 m/s - Height at which the glider is hovering (h) = 300 m

To calculate the speed at which the rocket strikes the glider, we can use the equation of motion:

v^2 = u^2 + 2as

Where: - v is the final velocity of the rocket (which is the speed at which it strikes the glider) - u is the initial velocity of the rocket - a is the acceleration of the rocket (which is equal to the acceleration due to gravity, approximately 9.8 m/s^2) - s is the displacement of the rocket (which is equal to the height at which the glider is hovering, 300 m)

Substituting the given values into the equation, we have:

v^2 = (85 m/s)^2 + 2 * 9.8 m/s^2 * 300 m

Now, let's calculate the value of v.

v^2 = 7225 m^2/s^2 + 5880 m^2/s^2

v^2 = 13105 m^2/s^2

Taking the square root of both sides of the equation, we get:

v = √13105 m/s

Therefore, the speed at which the rocket strikes the glider is approximately 114.4 m/s.