Author Question: The path of a projectile fired at an inclination (in degrees) to the horizontal ... (Read 129 times)

gbarreiro

  • Hero Member
  • *****
  • Posts: 566
Solve the problem.

The path of a projectile fired at an inclination θ (in degrees) to the horizontal with an initial speed v0 is a parabola. The range R of the projectile, that is, the horizontal distance that the projectile travels, is found by using the formula
R = sin(2θ)
where g is the acceleration due to gravity. The maximum height H of the projectile is
H = (1 - cos(2θ))
Find the range R and the maximum height H in terms of g if the projectile is fired with an initial speed of 200 meters per second at an angle of 15° and then at an angle of 22.5°. Do not use a calculator, but simplify the answers.


nickk12214

  • Sr. Member
  • ****
  • Posts: 332
θ = 15°:  R = ,  H = ;
θ = 22.5°:  R = ,  H =



Related Topics

Need homework help now?

Ask unlimited questions for free

Ask a Question

rl

  • Hero Member
  • *****
  • Posts: 579
Solve the problem.

The path of a projectile fired at an inclination θ (in degrees) to the horizontal with an initial speed v0 is a parabola. The maximum height H of the projectile is given by
H = (1 - cos (2θ))
where g is the acceleration due to gravity.
Show that the maximum height H can be written H =



Swizqar

  • Sr. Member
  • ****
  • Posts: 357
H = (1 - cos(2θ)) =   (1 - (1 - 2 sin2 θ)) = (2 sin2 θ) =



 

Did you know?

Common abbreviations that cause medication errors include U (unit), mg (milligram), QD (every day), SC (subcutaneous), TIW (three times per week), D/C (discharge or discontinue), HS (at bedtime or "hours of sleep"), cc (cubic centimeters), and AU (each ear).

Did you know?

Anti-aging claims should not ever be believed. There is no supplement, medication, or any other substance that has been proven to slow or stop the aging process.

Did you know?

Methicillin-resistant Staphylococcus aureus or MRSA was discovered in 1961 in the United Kingdom. It if often referred to as a superbug. MRSA infections cause more deaths in the United States every year than AIDS.

Methicilli ...
Did you know?

In 2012, nearly 24 milliion Americans, aged 12 and older, had abused an illicit drug, according to the National Institute on Drug Abuse (NIDA).

Did you know?

Walt Disney helped combat malaria by making an animated film in 1943 called The Winged Scourge. This short film starred the seven dwarfs and taught children that mosquitos transmit malaria, which is a very bad disease. It advocated the killing of mosquitos to stop the disease.

For a complete list of videos, visit our video library