Projectile Problem Help: Find Maximum Distance and Collision Point - g=10m/s2

[kaushalyjain]

1. A ship is approaching a cliff of height 105m above sea level. gun fited on ship can fire shots with 110m/s. Find the maximum distance frm the foot of cliff from where the gun can hit an object on the top of cliff. g=10m/s2

2. 2towers AB and CD are situated a distance 'd' apart. AB is 20m high and CD is 30 m high frm ground. an object of mass 'm' is thrown from the top of AB horizontally with a velocity of 10m/s towards CD. Simultaneously another object of mass '2m' is thrown from top of CD at an angle 60degree below horizontal towards AB with the same magnitude of intial velocity as that of the first object. 2 objects move in the same vertical plane, collide in mid air and stick to each other.
i) find 'd'
ii) find position where the objects hit ground

 

[Bill Foster]

1. Start with these equations:

$$x=vtcos(\theta)$$
$$y=vtsin(\theta)-\frac{1}{2}gt^2$$

You will need to eliminate $$t$$ between the two equations.