Question

How long does it take to accelerate a car from a speed of 50 km / hr to a speed of 100 km / hr at an acceleration of 1 m/ s2

Answer 1

change in velocity means acceleration

Answer 2

It will take 14 seconds to accelerate a car from a speed of 50 km/h to a speed of 100 km/h at an acceleration of 1 m/s2

Given,

initial velocity, u = 50 km/h

final velocity, v = 100 km/h

acceleration, a = 1 m/s square = 12960 km/h square

To find,

The time taken for the car to accelerate

Solution,

This can be solved using the first equation of motion, which is given by the following equation:

v = u + at

where v is the initial velocity of the object

u is the final velocity of the object

a is the acceleration of the object

and t is the time taken by the object to accelerate from v to u

Now, substituting the given values in the above equation, we get the following:

$100 = 50 + 12960\times t$

$12960t = 100 - 50$

$12960t = 50$

$t = \frac{50}{12960} \hspace{0.1cm}hr$

$t=\frac{50}{12960} \times 3600 \hspace{0.1cm}s$

$t=\frac{50}{12960} \times 3600 \hspace{0.1cm}s$

$t \approx 14 s$

Therefore, the time taken to accelerate a car from a speed of 50 km/h to a speed of 100 km/h at an acceleration of 1 m/s2 is 14 seconds

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