Question

A car's velocity increases from 14 m/s to 26 m/s in six seconds. What distance does the
car travel in this time? (in m)

Answer 1

The car travels 120m.

• The initial velocity is the velocity at time interval t = 0, and it is represented by u. It is the velocity at which motion starts.
• initial velocity (u) = 14m/s
• The final velocity is the last velocity of a given object after a period of time.
• final velocity (v) = 26m/s
• time taken (t) = 6s
• The first equation of motion relates velocity, time, and acceleration.
• Using the first equation of motion,
• v = u + a*t
• 26 = 14 + a*6
• 12 = a*6
• a = 2m/s²
• The third equation of motion relates to velocity, displacement, and acceleration.
• Using the third equation of motion,
• v² - u² = 2as
• (26)² - (14)² = 2*2*s
• Solving the above equation, we get s = 120m.

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