Given the time of flight for a projectile fired horizontally was o.66 seconds, and it landed 3: 3 m from where it was launched, the projectile's muzzle velocity was: (a) 0.20 m/s, (b) 0.22 m/s, (c) 0.50 m/s, (d) 5.0 m/s, (e) none of the above.

(a) assume the equation x = at^3 + bt describes the motion of a particular object, with x having the dimension of length and t having the dimension of time. determine the dimensions of the constants a and b. (use the following as necessary: l and t, where l is the unit of length and t is the unit of time.) (b) determine the dimensions of the derivative dx/dt = 3at^2 + b. (use the following as necessary: l and t, where l is the unit of length and t is the unit of time.)