Question

1. if i start out at 3 m/s and accelerate at 5 meters per second squared, for 18 seconds, what is my final velocity?
2. an astronaut is floating in space drinking a dr. pepper. suddenly he chokes and his dr. pepper goes flying off toward earth. over the course of the trip the dr. pepper experiences an average acceleration of 9 meters per second squared. the beverage also has an initial velocity of 12 m/s towards the earth, and it takes 7 minutes and 42 seconds for it to smash into and old el camino whose paint had been sanded off and only had primer on it. at what velocity does the dr. pepper smash into the el camino? (lets ignore air resistance here)

Explanation:

Step1: Convert time to seconds

We know that \(1\) minute \( = 60\) seconds. So \(7\) minutes and \(42\) seconds \(t=(7\times60 + 42)\text{s}=462\text{s}\)

Step2: Use the kinematic formula \(v = v_0+at\)

Given \(v_0 = 12\text{m/s}\), \(a = 9\text{m/s}^2\), \(t = 462\text{s}\)
Substitute into the formula: \(v=12+9\times462\)
First calculate \(9\times462 = 4158\)
Then \(v=12 + 4158\)

Answer:

\(v = 4170\text{m/s}\)