ASIAX
Answered



If a car changes its velocity from 32 km/hr to 54 km/hr in 8.0 seconds, what is its acceleration?



216 km/hr/sec

2.8 km/hr/sec

-216 km/hr/sec

-2.8 km/hr/sec



Verified Answer :

Use the equation vf = vi + at to determine the acceleration: 

54 = 32 + (a)(8) 
22 = 8a 
a = 2.75 km/h/s 

B

Answer: Option (b) is the correct answer.

Explanation:

The given data is as follows.

Initial velocity, \(v_{i}\) = 32 km/hr,  Final velocity, \(v_{f}\) = 54 km/h

Time (t) = 8.0 seconds.

Calculate the acceleration, using the formula as follows.

           \(v_{f}\) = \(v_{i}\) + a × t

               54 km/hr = 32 km/hr + a × 8 sec

                   (54 - 32) km/hr = a × 8 sec

                      22 km/hr = a × 8 sec

or,                      a = \(\frac{22 km/hr}{8 sec}\)

                             = 2.75 km/hr/sec

                             = 2.8 km/hr/sec (approx)

Thus, we can conclude that acceleration of the car is 2.8 km/hr/sec (approx).