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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 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.

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.

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.

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XavierProfessional · Tutor for 6 years

Answer

Using the provided values in the equation, \(v = u + at\), 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.

Explain

## Step1: The problem is looking to find the speed of the rocket 3 seconds from the launch.In this case the initial speed (\(u\)) is 0 m/s, as mentioned in the problem, the rocket starts from rest. The time (\(t\)) is taken as 3 seconds and the acceleration (\(a\)) 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.<br /><br />## Step2. Apply the first law of motion to find the speed at 3 seconds, \(v = u + at\).
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