Question Details

3 ms⁻² = ..... km h⁻²

Options

A

2.9 x 10⁴ km h⁻²

B

6.9 x 10⁴ km h⁻²

C

3.9 x 10⁴ km h⁻²

D

4.9 x 10⁴ km h⁻²

Correct Answer :

3.9 x 10⁴ km h⁻²

Solution :

The correct option is 3.9 x 10⁴ km h⁻².

To convert the acceleration value from meters per second squared (m s-2) to kilometers per hour squared (km h-2), we can apply the conversion factors for distance and time separately.

First, we convert meters to kilometers:
1 m=10-3 km

Next, we convert seconds to hours:
1 s=13600 h

Now, we substitute these relations into the expression:
3 m s-2=3×ms2
=3×10-3 km13600 h2
=3×10-3×(3600)2 km h-2
=3×10-3×1.296×107 km h-2
=3.888×104 km h-2
3.9×104 km h-2

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