James Bond Mission

1. Nov 30, 2011

maxtheminawes

1. The problem statement, all variables and given/known data
James Bond job is to aim at clifftop cannons at attacking vessels coming from the sea. In one practice exercise he shoots her cannon at an angle of 40 degrees, giving the cannon ball a velocity of 35m/s. If the cannon ball lands 150m from the base of the cliff, how high is James abouve the sea.

2. Relevant equations
v=vo+at
y=yo+vot+1/2at^2
y=height
3. The attempt at a solution
v=vo+at
35=(-9.8)t
t=3.57secs

y=yo+vot+1/2at^2
y=35sin40(3.57)+1/2(-9.8)3.58^2
y=17.87m
1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution
1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

2. Dec 1, 2011

TaxOnFear

Are you familiar with projectile motion? Try splitting the attack into two parts, where the cannon ball is rising (-ve g) and where it falls (+ve g). Resolving your velocity into components will give you a good start.

3. Dec 1, 2011

LawrenceC

Alternately, since the horizontal velocity of the cannon ball is constant in time (no air drag), you can compute the time of flight of the shot. Knowing that and the initial vertical velocity component, you can compute the vertical distance by using the projectile motion equation for y. Just be careful with the signs in the equation.

4. Dec 3, 2011

maxtheminawes

ok, i retried the problem. is this right?
x=vt
150=35cos40t
t=5.59 sec

y=Voyt+1/2at^2
y=35sin40(5.59)+1/2(-9.8)(5.59^2)
y=27.35m

Last edited: Dec 3, 2011
5. Dec 4, 2011

LawrenceC

That's it essentially but you have a sign error. y = -27.35 based on your equation.