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Angelo begins walking west along a road at 1.05 m/s, then speeds up at 0.74 m/s² for 2.6 s. What is Angelo's new velocity?

A) 2.92 m/s west
B) 3.68 m/s west
C) 4.65 m/s west
D) 5.42 m/s west

User Sajas
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1 Answer

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Final answer:

Using the formula for final velocity v = u + at, with the given initial velocity, acceleration, and time values, Angelo's new velocity is calculated to be approximately 2.97 m/s west.

Step-by-step explanation:

To find Angelo's new velocity, we will apply the formula for final velocity which takes into account the initial velocity, acceleration, and time. The formula is v = u + at, where:

  • v is the final velocity,
  • u is the initial velocity,
  • a is the acceleration,
  • t is the time.

Given that Angelo's initial velocity (u) is 1.05 m/s west, the acceleration (a) is 0.74 m/s² west, and the time (t) is 2.6 s, we can substitute these values into the formula to calculate the new velocity:

v = 1.05 m/s + (0.74 m/s² * 2.6 s)

v = 1.05 m/s + 1.924 m/s

v = 2.974 m/s

Approximating to two decimal places, Angelo's new velocity is 2.97 m/s west, which is closest to answer choice (A) 2.92 m/s west, assuming that the answer choices may contain a slight rounding difference.

User Matt Runion
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