Between t = 0 and t = t0, a rocket moves straight upward with an accel

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Between t = 0 and t = t0, a rocket moves straight upward with an acceleration given by a(t) = A − Bt1/2, where A and B are constants. (a) If x is in meters and t is in seconds, what are the units of A and B ? (b) If the rocket starts from rest, how does the velocity vary between t = 0 and t = t0 ? (c) If its initial position is zero, what is the rocket's position as a function of time during this same time interval?

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Between $t = 0$ and $t = t_{0}$ , a rocket moves straight upward with an acceleration given by $a (t) = A - B t^{1 / 2}$ , where $A$ and $B$ are constants. (a) If $x$ is in meters and $t$ is in seconds, what are the units of $A$ and $B$ ? (b) If the rocket starts from rest, how does the velocity vary between $t = 0$ and $t = t_{0}$ ? (c) If its initial position is zero, what is the rocket's position as a function of time during this same time interval?