Arocket moves straight upward , starting from rest with an acceleration of 29.4 m/s2. it runs out of fuel at the end of 4.00 s and countinues to coast upward , reaching a maximum height before falling back to earth .

a) find the rocket's velocity and position at the end of 4.00 s .
b) find the maximum height the rocket reaches.
c) find the velocity the instant before the rocket crashes on the ground