Question

A rocket ship has several engines and thrusters. While the Solid Rocket Booster (SRB) and main engines only work together during the first 2 minutes of flight, the main engines operate for a total of 8.5 minutes after the launch. Once the SRBs are released, the main engines alone accelerate the rocket from about 1341 m/s to 7600 m/s.
What is the acceleration of the SRB and main engine during the first 2.0 minutes of flight?

A. 52 m/s2
B. 13 m/s2
C. 9.8 m/s2
D. 11 m/s2

Answer 1

The acceleration of the SRB and main engine during the first 2.0 minutes of flight is 52.16 m/s².

The given parameters;

• initial velocity of the engine, u = 1341 m/s
• final velocity of the engine, v = 7600 m/s
• time of motion, t = 2 minutes = 2 x 60 s = 120 s

The acceleration of the SRB and main engine is calculated as follows;

$a = \frac{\Delta v}{\Delta t } \\\\a = \frac{7600 - 1341}{2 \times 60 s} \\\\a = 52.16 \ m/s^2$

Thus, the acceleration of the SRB and main engine during the first 2.0 minutes of flight is 52.16 m/s².

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