Uniform Acceleration and Time

Classical Mechanics Level 1

A particle starting at x = 0 m x=0 \text{ m} at rest uniformly accelerates and moves to x = 24 m x=24 \text{ m} in time t = 2 s t=2 \text{ s} . What is the uniform acceleration a a of the particle in m / s 2 ? \text{ m}/\text{s}^2?

6 6 8 8 12 12 24 24

Matt DeCross by Matt DeCross , 27, USA

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2 solutions

Md Lokman Hosen
Jun 10, 2016

We know that

x i x_i - x f x_f = u t ut + a t 2 2 \frac {at^2}{2} or, 24 24 = 4 a 2 \frac {4a}{2} or, 24 × 2 4 \frac {24 \times2}{4} = a a or, a a = 12 \boxed {12}

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isn't it xf-xi?

Karl Nacario - 3 years, 11 months ago
Hannes Camitz
Apr 14, 2016

If you think of it as average speed instead of acceleration, it becomes easier. Distance 24m Time to travel 2 seconds.

So let's just devide the distance with the travel time. Distance / time = 24m / 2 sec = 12 m/s.

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