Temper888 said:3. According to the equation above,in my opinion as θ increases, range should decrease and time(t) should increase. Is there any other way of knowing the relation?
The angle of launch and the range of a projectile are directly related. The range increases as the angle of launch increases, up to a certain point. Beyond this point, the range will begin to decrease as the angle of launch increases.
The angle of launch has a significant impact on the flight time of a projectile. As the angle of launch increases, the flight time also increases. This is because a higher angle of launch results in a longer distance traveled by the projectile, which takes more time.
The optimal angle of launch for maximizing range is 45 degrees. This is known as the "optimal launch angle" and it results in the longest possible range for a given initial velocity.
Air resistance can significantly impact the relationship between angle of launch, range, and flight time. It can reduce the range and flight time of a projectile, making the optimal angle of launch less than 45 degrees.
Besides angle of launch, factors such as initial velocity, air resistance, and the mass of the projectile can also affect the range and flight time. The surface on which the projectile lands can also impact these variables.