Question

Груз падает с крыши находящиеся на высоте 30 м от поверхности земли его начальная скорость равна 54 км/с и направлена горизонтально. Чему равна дальность полета по горизонтали и время полета тела?

Answer 1

Hmax=225/2*10=11.25
tп=2*15/10=3

Answer 2

Calculation of Horizontal Distance and Time of Flight

To calculate the horizontal distance and time of flight of an object that falls from a height of 30 m with an initial horizontal velocity of 54 km/h, we can use the equations of motion.

The horizontal distance traveled by the object can be calculated using the formula:

Horizontal Distance (d) = Initial Horizontal Velocity (v0) × Time of Flight (t)

The time of flight can be calculated using the formula:

Time of Flight (t) = 2 × Vertical Distance (h) / Acceleration due to Gravity (g)

Let's calculate the values step by step.

1. Calculation of Time of Flight: - Vertical Distance (h) = 30 m - Acceleration due to Gravity (g) = 9.8 m/s^2 (approximate value)

Using the formula mentioned above, we can calculate the time of flight:

Time of Flight (t) = 2 × 30 m / 9.8 m/s^2

Calculating this value, we get:

Time of Flight (t) ≈ 6.12 seconds.

2. Calculation of Horizontal Distance: - Initial Horizontal Velocity (v0) = 54 km/h

Using the formula mentioned above, we can calculate the horizontal distance:

Horizontal Distance (d) = 54 km/h × 6.12 seconds

To perform this calculation, we need to convert the initial horizontal velocity from km/h to m/s:

54 km/h ≈ 15 m/s.

Now, we can calculate the horizontal distance:

Horizontal Distance (d) = 15 m/s × 6.12 seconds

Calculating this value, we get:

Horizontal Distance (d) ≈ 91.8 meters.

Therefore, the horizontal distance traveled by the object is approximately 91.8 meters, and the time of flight is approximately 6.12 seconds.