A rocket of mass is launched vertically

PHYSICS · Single correct · A Level · Physics · Mechanics and materials · Mechanics and materials

Problem

A rocket of mass

4.0\times10^{3}\,\text{kg}

is launched vertically. The engines provide an upward thrust of

65\,\text{kN}

, while air resistance (drag) exerts a

5.0\,\text{kN}

force downward. Neglecting any change in mass, determine the rocket’s acceleration at this instant. (Take upward as the positive direction.) (a)

+0.52\,\text{m/s}^{2}

(b)

-5.2\,\text{m/s}^{2}

(c)

+5.2\,\text{m/s}^{2}

(d)

+6.4\,\text{m/s}^{2}