A gas balloon is going up with a constant velocity of 10 m/s. When this balloon reached a height of 75 m

Question

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 $g = 10 {m/s}^{2}$ ) [2026]

Smart Achievers · Accepted Answer

(4)

$75 = 10 t - 5 t^{2}$

$t^{2} - 2 t - 15 = 0$

$(t - 5) (t + 3) = 0 \Rightarrow t = 5 s$

$d = 10 \times 5 = 50 m$

$height from ground,$

$H = 10 \times 5 + 75 = 125 m$

Solution

Q.
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 $g = 10 {m/s}^{2}$ ) [2026]

1 85

2 150

3 129

4 125

Ans.
(4)

$75 = 10 t - 5 t^{2}$

$t^{2} - 2 t - 15 = 0$

$(t - 5) (t + 3) = 0 \Rightarrow t = 5 s$

$d = 10 \times 5 = 50 m$

$height from ground,$

$H = 10 \times 5 + 75 = 125 m$

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