A student performs a ballistic pendulum experiment using an apparatus similar to that shown it the figure. Initially the bullet is fired at the block while the block is at rest (at its lowest swingin point). After the bullet hits the block, the block rises to its highest position, see dashed block in the figure, and continues swinging back and forth.
The following data is obtained:
the maximum height of the pendulum rises 3 cm,
at the maximum height the pendulum subtends an angle of 36.9,
the mass of the bullet is 64 g, and
the mass of the pendulum bob is 889 g.
The acceleration of gravity is 9.8 m/s^2
Determine the initial speed of the projectile
Answer in units of m/s