Homework Help: physics

Posted by Haley on Monday, March 5, 2012 at 11:14am.

King Arthur's knights fire a cannon from the top of the castle wall. The cannonball is fired at a speed of 42 m/s and at an angle of 33°. A cannonball that was accidentally dropped hits the moat below in 1.6 s.
(a) How far from the castle wall does the cannonball hit the ground?
(b) What is the ball's maximum height above the ground?

physics - drwls, Monday, March 5, 2012 at 12:06pm
Use the dropped cannonball's fall time (1.6 s) to compute the height of the top of the castle.
H = (g/2)t^2 = 12.54 m

(a) In this case, assume they are talking about the fired cannonball, not the dropped one.
Solve this equation for time of flight t:
H = 12.54 -(g/2)t^2 + 42sin33 t = 0
Then use
X = 42cos33*t

b) Ymax = H + (42sin33)^2/(2g)
Note that the castle height H had to be added to the distance that the cannonball actually rises.

Answer this Question

Related Questions

Physics 111 - King Arthur's knights fire a cannon from the top of the castle...
physics - King Arthur's knights fire a cannon from the top of the castle ...
physics - Two identical cannons fire cannonballs horizontally with the same ...
physics - a cannon fire a bullet into a castle. leave the gun with velocity of ...
11th grade-physics - a cannon with a mass of 1,500kg fired a 7kg cannonball ...
Physics - a) A cannonball is fired horizontally from the top of a cliff. The ...
Physics - A revolutionary cannon, with a mass of 2000kg, fires a 20kg ball ...
physics - a cannon fires at a castle. the walls are 9m high. if the cannon is ...
physics - When a cannon fires a cannonball, the cannon will recoil backward ...
King Arthur - Why has the story of King Arthur endured for as long as it has? ...

For Further Reading

First Name:
School Subject:
Answer: