Question

Тело брошено под углом (альфа) к горизонту с начальной скоростью V0 . Выразите полное время полета тела и дальность полета.

Answer 1

1 t= 2*Voy/g=2*Vo*sina/g
2) Sx=Vоx*t=Vo^2sin2a/g

Answer 2

Calculating Time of Flight and Range of Projectile Motion

To calculate the time of flight and range of a projectile thrown at an angle (alpha) to the horizon with an initial velocity V0, we can use the following formulas:

1. Time of flight (T): - The time of flight can be calculated using the formula: \[ T = \frac{2V_0sin(\alpha)}{g} \] where \( V_0 \) is the initial velocity, \( \alpha \) is the angle, and \( g \) is the acceleration due to gravity.

2. Range (R): - The range can be calculated using the formula: \[ R = \frac{V_0^2sin(2\alpha)}{g} \]

Let's calculate the time of flight and range using the given initial velocity \( V_0 \) and angle \( \alpha \).

Calculating Time of Flight

Using the formula for time of flight: \[ T = \frac{2V_0sin(\alpha)}{g} \]

From the provided sources: - Source provides the formula for time of flight.

Calculating Range

Using the formula for range: \[ R = \frac{V_0^2sin(2\alpha)}{g} \]

Unfortunately, the provided sources do not contain the specific formula for range calculation. However, we can use the formula mentioned above to calculate the range.

Conclusion

The time of flight and range of the projectile can be calculated using the given initial velocity and angle. If you provide the specific values for \( V_0 \) and \( \alpha \), I can help you calculate the time of flight and range using the formulas mentioned above.