A cart, with two identical cannons, is initially at rest. The front cannon has a

ID: 2139787 • Letter: A

Question

A cart, with two identical cannons, is initially at rest. The

front cannon has a cannon ball and the back cannon is empty.

The front cannon ?res and the cannon ball rises vertically and

remains in ?ight above the front cannon for a time of 4.0 s and

then lands back in the cannon. Air resistance is negligible.

2. Now the cart is accelerated horizontally for 5.0 s at 2.0 m/s2

at which time the cannon is ?red again. The cart continues

to accelerate at 2.0 m/s2

. In this case, when the cannon ball

lands, it lands in rear cannon.

A. To an observer on the ground, what is the apparent speed of the cannon ball when it just

leaves the cannon the 2nd time?

B. How far apart are the two cannons?

A) T = 2*u/g

u = T*g/2 = 4*9.8/2 = 19.6 m/s

B) s = o.5*a*t^2 = 0.5*5*2^2 = 10 m

so, they are 10 m apart

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