Question

A car traveling at 20 km/h speeds up to 60 km/h in 6 seconds. What is its acceleration in m/$s^2$?

Answer 1

Step 1, Given data

Initial velocity = u = 20 km/h = $20\times \frac{5}{18}=\frac{50}{9}$ m/s

Final velocity = v = 60 km/h = $60\times \frac{5}{18}=\frac{50}{3}$ m/s

Time = t = 6 s

Step 2, Finding the acceleration

Using the first equation of motion

we know,

$v=u+at$

Putting all the values

$\frac{50}{3}=\frac{50}{9}+a\times 6$

After solving

$a=\frac{50}{27}$ m/$s^2$

Hence the acceleration is $a=\frac{50}{27}$ m/$s^2$