Question

A rocket blasts off vertically from rest on the launch pad with a constant upward acceleration of 2.90 m/s2. At 30.0 s after blastoff, the engines suddenly fail, and the rocket begins free fall. -How long after it was launched will the rocket fall back to the launch pad?

Answer 1

The acceleration of the rocket taking off from the Moon is approximately 3.456 m/s².

Step-by-step explanation:

The acceleration of a 5000-kg rocket taking off from the Moon can be calculated using the formula:

acceleration = (thrust - weight) / mass

Given that the acceleration due to gravity on the Moon is 1.6 m/s² and the rocket expels 8.00 kg of gas per second at an exhaust velocity of 2.20 × 10³ m/s, the thrust can be calculated as the product of the gas expel rate and the exhaust velocity.

Plugging in the given values, we get:

acceleration = (8.00 kg/s * 2.20 × 10³ m/s) - (5000 kg * 1.6 m/s²) / 5000 kg

Simplifying the equation gives an acceleration of approximately 3.456 m/s².