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A car travelling at 20km/hr speed up to 60 km/ hr in 6 sec. What is its acceleration?
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A car travelling at 20km/hr speed up to 60 km/ hr in 6 sec. What is it...
Calculation of Acceleration of a Car


Given:


  • Initial velocity (u) = 20 km/hr

  • Final velocity (v) = 60 km/hr

  • Time taken (t) = 6 sec



Step 1: Conversion of Units


First, we need to convert the given velocities from km/hr to m/s. We know that:


  • 1 km/hr = 1000 m/3600 sec = 0.2778 m/s


Therefore, the initial velocity (u) can be calculated as:


  • u = 20 km/hr x 0.2778 m/s = 5.56 m/s


Similarly, the final velocity (v) can be calculated as:


  • v = 60 km/hr x 0.2778 m/s = 16.67 m/s



Step 2: Calculation of Acceleration


We can use the formula of acceleration to calculate the acceleration of the car. The formula of acceleration is:


  • a = (v - u)/t


Substituting the values in the formula, we get:


  • a = (16.67 m/s - 5.56 m/s)/6 sec

  • a = 1.85 m/s^2



Step 3: Interpretation of Result


The calculated acceleration of the car is 1.85 m/s^2. This means that the car is increasing its velocity at a rate of 1.85 m/s^2. In other words, for every second, the car is increasing its velocity by 1.85 m/s.
Community Answer
A car travelling at 20km/hr speed up to 60 km/ hr in 6 sec. What is it...
20km/hr means 20×5/18= 50/9m/s (u)
60km/hr means 60× 5/18=50/3m/s(v)
time taken is 6sec
a=v-u/t
(50/3-50/9)/6
=(100/9)/6
=100/54
=1.85m/s^2
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