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← JEE Main 2026 · 8 Apr · Shift 2
PhysicsSingle correct+4 / -1Question 29 of 75

JEE Main 2026 · 8 Apr · Shift 2, Physics question 29

A gas balloon is going up with a constant velocity of 10 m/s. When this balloon reached a height of 75 m, a stone is dropped from it and balloon keeps moving up with the same velocity. The height of the balloon when the stone hits the ground is ________ m. (Take g=10g=10 m/s²)

Choose one option
Answer and worked solution

Official answer: D

Stone. It leaves with 10 m/s upward from 75 m:
−75=10t−5t2 ⇒ t2−2t−15=0 ⇒ t=5 s.-75=10t-5t^2\ \Rightarrow\ t^2-2t-15=0\ \Rightarrow\ t=5\text{ s}.

Balloon after 5 s more: 75+50=12575+50=125 m.

(D)