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NEET 2026
Exam
NEET
Year
2026
Subject
Physics
Chapter
Chapter

NEET 2026 · Physics · Chapter

A drone starts from rest and accelerates vertically upward at 3 m...

A drone starts from rest and accelerates vertically upward at 3 m s−23 \text{ m s}^{-2}. At t=4 st = 4 \text{ s}, a small bolt detaches from the drone. What is the speed and magnitude of acceleration of the bolt at t=7 st = 7 \text{ s}? (Take g=10 m s−2g = 10 \text{ m s}^{-2})

Options

  1. A30 m s−1,10 m s−230 \text{ m s}^{-1}, 10 \text{ m s}^{-2}
  2. B18 m s−1,10 m s−218 \text{ m s}^{-1}, 10 \text{ m s}^{-2}
  3. C42 m s−1,7 m s−242 \text{ m s}^{-1}, 7 \text{ m s}^{-2}
  4. D18 m s−1,7 m s−218 \text{ m s}^{-1}, 7 \text{ m s}^{-2}

Correct answer

B. 18 m s−1,10 m s−218 \text{ m s}^{-1}, 10 \text{ m s}^{-2}

Step-by-step solution

Velocity of the drone at t=4 st = 4 \text{ s} is given by v=u+atv = u + at.

v=0+3×4=12 m s−1v = 0 + 3 \times 4 = 12 \text{ m s}^{-1}

When the bolt detaches, it acquires the velocity of the drone at that instant. Thus, the initial velocity of the bolt is ub=12 m s−1u_{b} = 12 \text{ m s}^{-1} (upward).

After detaching, the bolt falls freely under gravity. Its acceleration is g=10 m s−2g = 10 \text{ m s}^{-2} (downward).

The time elapsed from detachment to t=7 st = 7 \text{ s} is Δt=7−4=3 s\Delta t = 7 - 4 = 3 \text{ s}.

Velocity of the bolt at t=7 st = 7 \text{ s} is vb=ub−gΔtv_{b} = u_{b} - g \Delta t.

vb=12−10×3=−18 m s−1v_{b} = 12 - 10 \times 3 = -18 \text{ m s}^{-1}

The negative sign indicates downward direction. The speed of the bolt is ∣−18∣=18 m s−1|-18| = 18 \text{ m s}^{-1}.

The magnitude of acceleration of the bolt is 10 m s−210 \text{ m s}^{-2}.

Answer: 18 m s−1,10 m s−218 \text{ m s}^{-1}, 10 \text{ m s}^{-2}
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