Question

A spaceship travelling in space at 300 kms, fires its engine for 15 seconds, such that its final
velocity is 600 kms. Calculate the total distance travelled by the ship in one minute starting from
Numerical
he time of firing.
to see
Solution :​

Answer 1

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Given:-

Initial Velocity of Spaceship = 300km/s

Final Velocity of Spaceship = 600km/s

Time taken for Firing = 15s

Total time given = 1min → 60s

To Find:-

The Total Distance travelled by the ship in one minute.

Formulae used:-

v = u + at

s = ut + ½ × a × t²

s² = vt

Now,

we will find the Acceleration with which it was firing.

→ v = u + at

→ 600 = 300 + a × 15

→ 600 - 300 = 15a

→ 300 = 15a

→ a = 300/15

→ a = 20km/s

→ a = 20000m/s

Now, we will find the Distance travelled while firing

→ s¹ = ut + ½ × a × t²

→ s = 300000 × 15 + ½ × 20000 × (15)²

→ s = 4500000 + 10000 × 225

→ s = 4500000 + 225000

→ s = 6750000

Therefore, S¹ = 4725000

Now,

→ t = 60 - 15 → 45

→ after travelling for 15s the Velocity of the spaceship will be uniform.

Therefore,

→ s² = ut

→ s² = 600000 × 45

→ s² = 27000000

Hence,

→ Total Distance travelled = s¹ + s²

→ 6750000 + 27000000

→ 33750000

→ 33750km.

Hence, total distance travelled by spaceship is 31725km.

Answer 2

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