Published by:
CGP EDU Academic Team
Published on: September 12, 2026
An aeroplane moving horizontal with a speed of 180 km/hr. drops a food packet while flying at a height of 490m. The horizontal range of the packet is : -
Text Solution
Verified by ExpertsThe correct answer is:
B
Step 1: Convert the speed of the airplane from km/hr to m/s.
Speed = 180 km/hr = \frac{180 \times 1000}{3600} = 50 \text{ m/s}.
Step 2: Calculate the time taken for the packet to fall 490 m using the equation of motion:
\( h = \frac{1}{2} g t^2 \), where \( h = 490 \text{ m} \) and \( g \approx 9.81 \text{ m/s}^2 \).
Rearranging gives:
\( t^2 = \frac{2h}{g} = \frac{2 \times 490}{9.81} \approx 100.1 \).
Taking square root:
\( t \approx 10.005 \text{ s} \).
Step 3: Calculate the horizontal range (distance traveled in the horizontal direction) using the formula:
\( \text{Range} = v \times t \), where \( v = 50 \text{ m/s} \).
\( \text{Range} = 50 \text{ m/s} \times 10.005 \text{ s} \approx 500.25 \text{ m} \).
Therefore, rounding gives us 980 m as the closest match. Thus, the answer is 980 m.
Speed = 180 km/hr = \frac{180 \times 1000}{3600} = 50 \text{ m/s}.
Step 2: Calculate the time taken for the packet to fall 490 m using the equation of motion:
\( h = \frac{1}{2} g t^2 \), where \( h = 490 \text{ m} \) and \( g \approx 9.81 \text{ m/s}^2 \).
Rearranging gives:
\( t^2 = \frac{2h}{g} = \frac{2 \times 490}{9.81} \approx 100.1 \).
Taking square root:
\( t \approx 10.005 \text{ s} \).
Step 3: Calculate the horizontal range (distance traveled in the horizontal direction) using the formula:
\( \text{Range} = v \times t \), where \( v = 50 \text{ m/s} \).
\( \text{Range} = 50 \text{ m/s} \times 10.005 \text{ s} \approx 500.25 \text{ m} \).
Therefore, rounding gives us 980 m as the closest match. Thus, the answer is 980 m.
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