- #1
AakashPandita said:See the attachment.
The right answer is θ=60 degrees
but i am getting sinθ = ±√3.
AakashPandita said:First things first.
How is my expression for vy wrong?
I used v2-u2 = 2as
Doesn't that reduce to the same equation?Ackbeet said:I don't agree with your very first equation. It is not true that
[tex]H= \frac{u^{2} \sin^{2}( \theta)}{2g}.[/tex]
Conservation of Energy requires, instead, that
[tex]mgH+ \frac{m u^{2} \cos^{2}( \theta)}{2}= \frac{mu^{2}}{2},[/tex]
haruspex said:Doesn't that reduce to the same equation?
A projectile is an object that is launched or thrown into the air and is affected by gravity. Examples of projectiles include a baseball being thrown by a pitcher or a rocket being launched into space.
The trajectory of a projectile is the path it follows as it travels through the air due to the forces of gravity and air resistance. It is typically a curved path and can be described using mathematical equations.
The range of a projectile is the horizontal distance it travels before hitting the ground. It can be calculated using the following formula: range = (initial velocity^2 * sin(2θ)) / g, where θ is the launch angle and g is the acceleration due to gravity (9.8 m/s^2).
The trajectory of a projectile can be affected by several factors, including the initial velocity, launch angle, air resistance, and gravity. Other factors such as wind and surface conditions can also have an impact.
Projectile motion is used in many real-life applications, such as sports (e.g. throwing a ball), military operations (e.g. launching missiles), and space exploration (e.g. launching rockets). It is also studied in physics to understand the laws of motion and gravity.