A model rocket is constructed with a motor that can provide a total impulse of 25.5 N · s. The mass of the rocket is 0.213 kg. What is the speed that this rocket achieves when launched from rest? Neglect the effects of gravity and air resistance.

where are the answers lol

To find the speed that the rocket achieves when launched from rest, we can use the principle of conservation of momentum.

The impulse-momentum theorem states that the change in momentum of an object is equal to the impulse applied to it. Mathematically, it can be written as:

Impulse = Change in momentum

The impulse, given in the problem, is 25.5 N · s. The momentum of an object is calculated by multiplying its mass with its velocity. Since the rocket is initially at rest, its initial momentum is zero.

Impulse = Change in momentum
25.5 N · s = (final momentum) - (initial momentum)
25.5 N · s = (mass of the rocket) × (final velocity) - 0

Rearranging the equation, we get:

(final velocity) = (Impulse) / (mass of the rocket)

Substituting the given values, we have:

(final velocity) = 25.5 N · s / 0.213 kg

Calculating the final velocity, we get:

(final velocity) ≈ 119.72 m/s

So, the speed that the rocket achieves when launched from rest, neglecting the effects of gravity and air resistance, is approximately 119.72 m/s.