High School

A motorcycle with a velocity of +20 m/s is accelerated uniformly at the rate of +2.3 m/s² for 7.8 seconds. What is the final velocity?

A. +39.4 m/s
B. +53.8 m/s
C. +64.4 m/s
D. +75.2 m/s

Answer :

Final answer:

To find the final velocity, use the equation final velocity = initial velocity + (acceleration * time). By substituting the given values, the final velocity is approximately +37.94 m/s, which is closest to +39.4 m/s.

Explanation:

To find the final velocity, we use the equation:

final velocity = initial velocity + (acceleration * time)

Given:

Initial velocity (v0) = +20 m/s

Acceleration (a) = +2.3 m/s²

Time (t) = 7.8 seconds

Substituting the given values into the equation:

final velocity = +20 m/s + (+2.3 m/s² * 7.8 s)

final velocity = +20 m/s + 17.94 m/s

final velocity = +37.94 m/s

Therefore, the final velocity is approximately +37.94 m/s. The closest option to this value is a) +39.4 m/s.

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