SOLUTION: An artillery shell is fired with an initial velocity of 100 m/s at an angle of 30 degrees above the horizontal. Find:
a.) its position and velocity after 8 sec
b.) the time requi
Algebra.Com
Question 1044693: An artillery shell is fired with an initial velocity of 100 m/s at an angle of 30 degrees above the horizontal. Find:
a.) its position and velocity after 8 sec
b.) the time required to reach its maximum height
c.) The horizontal distance
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
An artillery shell is fired with an initial velocity of 100 m/s at an angle of 30 degrees above the horizontal.
---
Using 10 m/sec/sec as gravity:
Find:
a.) its position and velocity after 8 sec
The horizontal component = 100*cos(30) =~ 86.6 m/sec
The vertical component = 100*sin(30) = 50 m/sec
---
h(t) = -5t^2 + 50t
h(8) = 80 meter AGL (height)
---
The horizontal distance from the muzzle = 8*86.6 = 692.8 meters
-----
Horizontal speed is constant = 86.6 m/sec
Vertical speed = 50 - 10t = -30 m/sec (descending)
Its speed is the vector sum:
= sqrt(86.6^2 + 30^2) =~ 91.65 m/sec
=====================
b.) the time required to reach its maximum height
50/10 = 5 seconds
=========================
c.) The horizontal distance
Flight time = 10 seconds
H distance = 86.6*10 = 866 meters
RELATED QUESTIONS
An artillery shell is fired with an initial velocity of 760 m/s at an angle of 25o... (answered by Alan3354)
A missile is fired with an initial velocity of 85m/s at an angle 30° from he... (answered by ikleyn)
A fireworks shell is shot straight up with an initial velocity of 80 feet per second. Its (answered by lwsshak3,Alan3354,stanbon)
A projectile is fired at an angle of 30 degrees above the horizontal from the top of a... (answered by ikleyn)
can someone show me how this is solved please.
i didnt know how to type the V zero so... (answered by stanbon)
A projectile is fired from the ground with initial velocity of 960 ft/sec, at an angle of (answered by Alan3354)
1) A pistol that fires a signal flare gives it an initial velocity (muzzle
velocity) of... (answered by Alan3354)
A projectile is launched upward from level ground at an angle of 60° with the... (answered by Alan3354)
An object is launched over level ground at 35 degrees above the horizontal with an... (answered by ikleyn)