Question

A motorcycle traveling at 25 m/s accelerates at a rate of 7.0 m/s2 for 6.0 seconds. What is the final speed of the motorcycle?
Group of answer choices

Answer 1

Answer:

v=67m/s

Explanation:

Answer 2

The final speed of the motorcycle is 67 m/s.

Given,

Speed of the motorcycle, u=25 m/s

Acceleration of the motorcycle, a=$7.0 m/s^{2}$.

To find,

the final speed, v of the motorcycle.

Solution:

• Speed is equal to the ratio of the distance covered by an object and the time taken by the object to cover that distance.
• $Speed=\frac{Distance}{Time}$.
• Its S.I. unit is m/sec.
• The rate of change in velocity is called acceleration.
• Its S.I. unit is $m/sec^{2}$.
• The equations of motion which are used in such questions are:
• $v=u+at$.
• $S=ut+\frac{1}{2} at^{2}$.
• $v^{2} =u^{2} +2as$.
• where, v-final velocity, u-initial velocity, a-acceleration and s-displacement.

According to the equation of motion,

$v=u+at\\v=25+7X6\\v=25+42\\v=67 m/s.$

Hence, the final speed is 67 m/s.

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