Question

Prove that if a body is thrown vertically upward, the time of ascent is equal to the time of descent.

  • Gravitation CBSE Class 9
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Answer

Upward motion

v = u – gt1

0 = u – gt1

t1 = {𝑢 \over 𝑔}              … (1)

Downward motion

v = u + gt2

v = 0 + gt2

As the body falls back to the earth with the same velocity it was thrown vertically upwards.

∴ v = u

v = 0 + gt2

t2 = {𝑢 \over 𝑔}                … (2)

From (1) and (2), we get t1 = t2

⟹ Time of ascent = Time of descent

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