Q1.A spaceship travelling in space at 300 km s^{–1}
, fires it's engine for 15 seconds, such that its final velocity is 600 km s^{–1}
. Calculate the total distance travelled by the ship in one minute starting from the time of firing.
Answers
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.
YOUR REQUIRED ANSWER MATE
Answer:
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 = 6750000
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 33750km.