A car travelling at 20km/hr speed up to 60 km/ hr in 6 sec. What is its acceleration?

Question

Answer

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.

Answer

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

Answer

20km/h means,20×5/18= 50/9 m/s
60km/h means ,60×5/18=50/3m/s
t=6 sec.
that means acceleration is 50/3-50/9=100/9
nd t is 6sec
then acceleration is V/t
100/9/6= 100/54
that means 50/27 m/s ,by solving 50/27 we also get 1.8 m/s

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