A car us moving with a speed of 60km per h . suddenly the breaks are applied , and the car brought to rest in 10 sec. calculate the accelaration of the car.

60 kph = 50/3 m/s

50/3 m/s / 10 s = 5/3 m/s^2

To calculate the acceleration of the car, you need to use the formula for acceleration:

\[ a = \frac{{v_f - v_i}}{{t}} \]

where:
- \( a \) is the acceleration
- \( v_f \) is the final velocity (which is 0 because the car comes to a rest)
- \( v_i \) is the initial velocity (60 km/h)
- \( t \) is the time taken (10 sec)

First, we need to convert the initial velocity, \( v_i \), from km/h to m/s since the acceleration formula requires the velocity in m/s.

To convert km/h to m/s, we use the conversion factor:
1 km/h = 0.2778 m/s

So, the initial velocity, \( v_i \), in m/s is:
\( v_i = 60 \, \text{km/h} \times 0.2778 \, \text{m/s} \)

Next, we can substitute the values into the acceleration formula:

\[ a = \frac{{0 - v_i}}{{t}} \]

So, the acceleration of the car is given by:
\[ a = \frac{{0 - 60 \, \text{km/h} \times 0.2778 \, \text{m/s}}}{10 \, \text{s}} \]

Now, let's calculate it:

\( v_i = 60 \, \text{km/h} \times 0.2778 \, \text{m/s} \) (use a calculator to get the value of \( v_i \) in m/s)

\( a = \frac{{0 - v_i}}{{10 \, \text{s}}} \) (substitute the values into the formula)

After performing the calculations, you will get the value of acceleration in m/s².