Question

A water balloon slingshot launches its projectiles essentially from ground level at a speed of 27.5 m/s . (You can ignore air resistance.)

Answer 1

The student's question involves projectile motion in Physics, focusing on the trajectory and distance traveled by a water balloon launched from a slingshot, which is a common high school physics topic.

Step-by-step explanation:

The question addresses the concept of projectile motion in Physics, where a water balloon slingshot is used as an example of an object being launched horizontally at ground level. The core concepts involved here include the initial velocity, angle of projection, gravitational force, and equations of motion. These physics principles are typically covered in high school curriculums, and understanding them is crucial for solving problems related to how far or how high projectiles will travel given certain initial conditions.

Answer 2

A ) A range:
R = v² sin 2 α / g
The maximum range is when sin 2 α = 1, or when: 2 α = 90°
α = 45°
B ) R = 27.5² · 1 / 9.81 = 77 m
C ) Time:
T = 2 v sin α / g = 2 · 27.5 · sin 45° / 9.81 =
= 2 · 27.5 · 0.7 / 9.81 = 3.92 s