physics
posted by Haley .
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?

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.
Respond to this Question
Similar Questions

Physics
A revolutionary cannon, with a mass of 2000kg, fires a 20kg ball horizontally. The cannonball has a speed of 140m/s after it has left the barrel. The cannon carriage is on a flat platform and is free to roll horizontally. What is the … 
Physics
a) A cannonball is fired horizontally from the top of a cliff. The cannon is at height H = 100 m above ground level, and the ball is fired with initial horizontal speed v_0. Assume acceleration due to gravity to be g = 9.80 m/s^2. … 
Physics
Someone posted the question below, stating that they knew the answer to part A but needed help with part B. Well even with the answer for A, I can't figure it out! Can you take a step back from the question below to show me the steps … 
Physics 111
King Arthur's knights fire a cannon from the top of the castle wall. The cannonball is fired at a speed of 48 m/s and at an angle of 29°. A cannonball that was accidentally dropped hits the moat below in 1.7 s. (a) How far from the … 
physics
King Arthur's knights fire a cannon from the top of the castle wall. The cannonball is fired at a speed of 54 m/s and at an angle of 34°. A cannonball that was accidentally dropped hits the moat below in 1.1 s.(a) (a)How far from … 
Physics
The cannonball is fired at a speed of 45 and an angle of 35 . A cannonball that was accidentally dropped from the top of the castle wall hit the moat below in 1.8 . 
physics
You are a Middle Ages cannonball scientist attacking a castle a distance D away. Your job is to get a cannonball of mass m over the walls, which are a height H above the top of the cannonball launcher. At the instant when the cannonball … 
Physics
A cannon launches a ball with the initial speed of 210 m/s at a 70 degree angle. 1. How high will the cannonball go? 
physics
A cannon is mounted on a tower above a wide, level field. The barrel of the cannon is 20 m above the ground below. A cannonball is fired horizontally with an initial speed of 900 m/s. Assuming air resistance can be neglected, approximately … 
Physics
King Arthur's knights fire a cannon from the top of the castle wall. The cannonball is fired at a speed of 63 m/s and an angle of 42°. A cannonball that was accidentally dropped hits the moat below in 1.1 s. How far from the castle …