If Kylie throws a kiwi at an angle of 33° and it is caught 1.6 m high, how far apart are Kylie and Kyra if the kiwi is in the air for 1.1 seconds?

To determine how far apart Kylie and Kyra are based on the information provided, we can utilize projectile motion principles. When an object is thrown at an angle, its motion can be analyzed by breaking it down into horizontal and vertical components.

First, consider the time the kiwi is in the air, which is given as 1.1 seconds. The horizontal distance traveled by the kiwi can be calculated using the formula:

[

\text{Horizontal distance} = \text{horizontal velocity} \times \text{time}

]

The horizontal component of the velocity can be found by using the launch angle and the speed at which the kiwi is thrown. The horizontal velocity (v_x) can be calculated as follows:

[

v_x = v \cdot \cos(\theta)

]

Where ( v ) is the initial velocity and ( \theta ) is the angle of launch (33°). Since we are not provided with the initial speed, we can keep it as a variable. The horizontal distance also depends on this initial speed:

[

\text{Horizontal distance} = (v \cdot \cos(33°)) \cdot 1.1

]

Given that Kyra catches the