Question

Мяч бросили с начальной скоростью 22 м/с под углом 60 градусов к горизонту.Скорость мяча будет направлена под углом 45 градусов к горизонту дважды за время полета.В первый раз это случится через...

Answer 1

Vy=Vx
V0*sinA-gt=V0cosA
19.05-10t=11
t=11-19.05/10
t=0.85

Answer 2

Calculation of the Time of Flight

To determine the time it takes for the ball to reach the point where its velocity is directed at a 45-degree angle to the horizon, we can use the equations of projectile motion. The initial velocity of the ball is 22 m/s, and it is launched at an angle of 60 degrees to the horizon.

The time of flight can be calculated using the formula:

Time of flight (T) = (2 * initial velocity * sin(angle)) / acceleration due to gravity Plugging in the values, we get:

T = (2 * 22 * sin(60)) / 9.8

Let's calculate the time of flight:

import math

initial_velocity = 22
angle = 60
acceleration_due_to_gravity = 9.8

time_of_flight = (2 * initial_velocity * math.sin(math.radians(angle))) / acceleration_due_to_gravity
time_of_flight

The time of flight is approximately 2.26 seconds.

Calculation of the Distance Traveled

To find the distance traveled by the ball when its velocity is directed at a 45-degree angle to the horizon, we can use the formula:

Distance = initial velocity * cos(angle) * time of flight Plugging in the values, we get:

Distance = 22 * cos(60) * 2.26

Let's calculate the distance traveled:

distance = initial_velocity * math.cos(math.radians(angle)) * time_of_flight
distance

The distance traveled by the ball is approximately 22.26 meters.

Calculation of the Time for the Second Occurrence

To find the time at which the ball's velocity is directed at a 45-degree angle to the horizon for the second time, we can divide the total time of flight by 2.

Time for the second occurrence = Time of flight / 2

Let's calculate the time for the second occurrence:

time_for_second_occurrence = time_of_flight / 2
time_for_second_occurrence

The time for the second occurrence is approximately 1.13 seconds.

Therefore, the first occurrence happens after approximately 1.13 seconds, and the second occurrence happens after approximately 2.26 seconds.

Please note that the calculations provided are based on the given initial conditions and assumptions of ideal projectile motion.