Question

a car acceleretes uniformly from 0 to 72 km/hr in 11.5 seconds what is the acceleration of the car in m/s2

Answer 1

Answer on Question #73774, Physics / Mechanics | Relativity

A car accelerates uniformly from 0 to $72\,\mathrm{km/hr}$ in 11.5 seconds what is the acceleration of the car in $\mathrm{m/s^2}$.

Solution:

The car moves with acceleration, it can be determined from the following equation

$$a = \frac{v_1 - v_0}{t}$$

Since $v_0 = 0$ m/s

We get

$$a = \frac{v_1}{t}$$

Convert km/hr to m/s

$$72\,\frac{\mathrm{km}}{\mathrm{hr}} = \frac{72\,\mathrm{km}}{1\,\mathrm{hr}} \times \frac{1000\,\mathrm{m}}{1\,\mathrm{km}} \times \frac{1\,\mathrm{hr}}{3600\,\mathrm{s}} = 20\,\mathrm{m/s}$$

Finally

$$a = \frac{20\,\mathrm{m/s}}{11.5\,\mathrm{s}} = 1.74\,\mathrm{m/s^2}$$

Answer: $1.74\,\mathrm{m/s^2}$

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