Question

if initial velocity of projectile is get double. the % increase in range is ____
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Answer 1

Answer:

Therefore, doubling the initial velocity will result in the range being 4 times the original.

Answer 2

$\bf\huge\underline{\underline{ Given :- }}$

• initial velocity of projectile gets doubled

$\bf\huge\underline{\underline{ To \: Find:- }}$

• % increase of range

$\bf\huge\underline{\underline{ Answer :- }}$

• iniital velocity = u

when it gets doubled :-

• $\red{\implies}$ initial velocity = 2u

Range :- $\bf \frac{u²sin2\theta}{g}$

• $\red{\implies}$ $\bf \frac{(2u)²sin2\theta}{g}$

• $\red{\implies}$ $\bf\frac{4u²sin2\theta}{g}$

• $\red{\implies}$ $\bf 4×( \frac{u²sin2\theta}{g})$

• $\red{\implies} \bf 4 × R$

$\rule{10cm}{0.05cm}$

• ie, R will increase by 4 times

• ie, R will increase by 4 times percentage of increase = 4 × 100 = 400%