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a firework rocket starts from rest at ground level and moves vertically. in the first 3s of its motion, the rocket rises 27 m . the

Question

A firework rocket starts from rest at ground level and moves vertically. In the first 3s of its motion, the rocket rises 27 m . The rocket is modelled as a particle moving with constant acceleration 6ms^-2 Find the speed of the rocket 3 s after it has left the ground.

Answer

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Verificación de expertos
Xavier Professional · Tutor for 6 years

Answer

Using the provided values in the equation, , we obtain \(v = 0 + (6 m/s² * 3 s) = 18 m/s\), which is the speed of the rocket 3 seconds after leaving the ground.

Explanation

## Step1: The problem is looking to find the speed of the rocket 3 seconds from the launch.In this case the initial speed ( ) is 0 m/s, as mentioned in the problem, the rocket starts from rest. The time ( ) is taken as 3 seconds and the acceleration ( ) is given to be 6 m/s². We are not utilizing the distance in this problem to solve for requested speed; it is surplus information for this enquiry.## Step2. Apply the first law of motion to find the speed at 3 seconds, .