math
posted by devin .
Short projectile motion question
A German rocket from the second world war had a range of 3000meters reaching a maximum height of 1000meters.
Determine the rockets maximum velocity

math 
tchrwill
Vertical height h = V^2(sin^µ)/2g.
Horizontal distance = d = V^2(sin2µ)/g.
h = height, meters V = initial launch velocity, m/s, g = acceleration due to gravity, m/s^2s and µ = the elevation angle of the rocket measured from the horizontal to the launch directiion.
Thus, h = V^2(sin^2µ)/2g = 1000 and
......d = V^2(sin2µ)/g = 3000.
Solve for V^2, equate the results and solve for µ and then V.
Respond to this Question
Similar Questions

physics
Short projectile motion question A German rocket from the second world war had a range of 3000meters reaching a maximum height of 1000meters. Determine the rockets maximum velocity 
math 9
in a park some people are launching model rockets to find the maximum height,x,the rocket reaches, a person stands 50.0m from the launch sight and measure the angle from the ground to the rocket at its maximum height. if the angle … 
Physics
A German U2 rocket from the Second World War had a range of 300 km, reaching a maximum height of 100 km. Determine the rocket's maximum initial velocity. 
calc 2
The height (in feet) attained by a rocket t seconds into flight is giving by the function h(t)= 1/3t^3 + 16t^2 + 33t + 10 When is the rocket rising? 
calculus
The height (in feet) attained by a rocket t seconds into flight is giving by the function h(t)= 1/3t^3 + 16t^2 + 33t + 10 When is the rocket rising? 
physics
A rocket moves straight upward, starting from rest with an acceleration of +25.5 m/s2. It runs out of fuel at the end of 4.26 s and continues to coast upward, reaching a maximum height before falling back to Earth. (a) Find the rocket's … 
College Algebra
A projectile is thrown upward with an initial velocity of 272 feet per second. After t seconds, its height h(t)above the ground is given by the function : h(t)=16t^2+272t. a. Determine the projectile's maximum height. b. Determine … 
Physics
Q Exactly 2.7s after a projectile is fired into the air from the ground ,it is observed to have a velocity v = (8.8i+4.5 j) m/s where the xaxis is horizontal and the y axis is positive upward . a)Determine the horizontal range of … 
physics
a projectile is thrown from the ground with an initial velocity of 20.0 m/s at an angle of 40.0 degrees above the horizontal. find the projectile's maximum height, the time required to reach its maximum height, its velocity at the … 
physics question
In a projectile motion, the horizontal range and the maximum height attained by the projectile are equal . A) what is the launch angle?