If Kylie throws a kiwi at an angle of 33° for 1.1 s, how far away does Kyra catch it if it was released at 1.3 m and caught at 1.6 m height?

To determine how far away Kyra catches the kiwi, we first need to analyze the motion of the kiwi after being thrown. The initial height at which it's thrown is 1.3 m, and it reaches a height of 1.6 m when caught. This suggests that the kiwi is thrown upwards.

The time of flight is given as 1.1 seconds. To find the horizontal distance, we can use the angle of throw (33°) to resolve the initial velocity into horizontal and vertical components.

1. Break down the motion:

• The horizontal motion can be described as:

( \Delta x = v_{0x} t ),

where ( v_{0x} = v_0 \cos(33°) ) is the initial horizontal velocity and ( t ) is the time of flight (1.1 s).

• The vertical motion can help us ensure that the kiwi reaches the height of 1.6 m before being caught. This involves using kinematic equations to account for the difference in heights.

2. Calculate the vertical component:

Considering the vertical displacement and using the kinematic equation ( h = h_0 + v_{0y} t - \frac