From the top of a cliff 60 m high, the angles of depression of two boats are 30" and 60"
respectively. Find the distance between the boats, when the boats are :
(i) on the same side of the cliff,
(ii) on the opposite sides of the cliff.
Answers
Answer:
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Answer
Initial Velocity (u) = 80 m/s
Final Velocity (v) = 40 m/s
Acceleration (a) = -20 m/s² (Since the aircraft decelerates, the acceleration will be negative)
Distance travelled (s) = ?
We'll apply the third equation of motion for the given question.
3rd Equation of Motion ⇒ v² - u² = 2as
Substitute the variables and find the value of 's' (Distance)
⇒ (40)² - (80)² = 2(-20)(s)
⇒ 1600 - 6400 = -40s
⇒ -4800 = -40s
⇒ s = -4800 ÷ -40
⇒ s = 120 m
∴ The total distance travelled on the runway is 120 m.
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Additional Information
Acceleration is the rate of change of velocity in a particular given time.
We have 3 Equations of Motion. They are -:
1st Equation of Motion → v = u + at
2nd Equation of Motion→ s = ut+\dfrac{1}{2}at^{2}s=ut+
2
1
at
2
3rd Equation of Motion → v² - u² = 2as
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Answer
i) on the opposite side of the cliff
Step-by-step explanation: