Understanding the Range Equation of Projectile Motion (8:53)
The Horizontal Range of a Projectile is defined as the horizontal displacement of a projectile when the displacement of the projectile in the y-direction is zero. This video explains how to use the equation, why a launch angle of 45° gives the maximum range and why complementary angles give the same range.
0:16 Defining Range
0:50 How can the displacement in the y-direction be zero?
1:21 The variables in the equation
2:09 g is Positive!
3:05 How to get the maximum range
4:17 What dimensions to use in the equation
5:19 The shape of the sin(θ) graph
6:17 sin(2·30°) = sin(2·60°)
7:35 A graph of the Range of various Launch Angles
8:18 The Review