4: An aeroplane starts from rest with an uniform acceleration of 3 m/s2
for 15 s. Find
1. The speed acquired
2. The distance travelled
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Explanation:
Given :-
Initial speed, u = 0 (As aeroplane stops)
Acceleration, a = 3 m/s²
Time taken, t = 15 seconds
To Find :-
1. Speed acquired, v = ??
2. Distance traveled, s = ??
Formula to be used :-
1st equation of motion, v = u + at
3rd equation of motion, v² - u² = 2as
Solution :-
Putting all the values, we get
v = u + at
⇒ v = 0 + 3 × 15
⇒ v = 45 m/s
Hence, the Speed acquired by aeroplane is 45 m/s.
Now, distance traveled,
v² - u² = 2as
⇒ (45)² - (0)² = 2 × 3 × s
⇒ 2025 = 6s
⇒ 2025/6 = s
⇒ s = 337.5 m
Hence, The distance traveled by aeroplane is 337.5 m.
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