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The Flash is walking down the street at a rate of 1.5 m/s when he gets called in to save the day. Upon acceleration in the same direction at 20 m/s², 15 seconds later, what is his final velocity?

A. 31.5 m/s
B. 46.5 m/s
C. 301.5 m/s
D. 16.5 m/s

User Nitishagar
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1 Answer

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Final answer:

To find The Flash's final velocity after accelerating for 15 seconds, use the kinematic equation Vf = Vi + a × t. Plugging in the values, The Flash's final velocity is found to be 301.5 m/s, making the correct answer C. 301.5 m/s.

Step-by-step explanation:

How to Calculate Final Velocity

The Flash's final velocity can be calculated using the kinematic equation for uniform acceleration, which is:

Vf = Vi + a × t

Where Vf is the final velocity, Vi is the initial velocity, a is the acceleration, and t is time. In this problem:

  • Initial velocity (Vi) = 1.5 m/s (The Flash's walking speed)
  • Acceleration (a) = 20 m/s² (The Flash's acceleration)
  • Time (t) = 15 s (The period of acceleration)

Plugging these values into the equation we get:

Vf = 1.5 m/s + (20 m/s² × 15 s)

This results in:

Vf = 1.5 m/s + 300 m/s

Vf = 301.5 m/s

Therefore, the correct answer is C. 301.5 m/s.

User Msencenb
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