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India
Class XI

Solve Applications Involving Square Root Functions

Interactive practice questions

The distance a particular animal can see to the horizon is modelled by $d\left(x\right)=\sqrt{\frac{5x}{2}}$d(x)=5x2, where $x$x is the number of feet the animal is above sea level and $d\left(x\right)$d(x) is in miles.

a

If the animal is lying on a rock that is $32$32 feet above the water, how far can it see?

Give an exact answer in simplest form.

b

Hence find the distance that the animal can see to the nearest tenth of a mile.

Easy
3min

The period $P$P, in seconds, of a pendulum is $P=2\pi\sqrt{\frac{l}{32}}$P=2πl32, where $l$l is the length of the pendulum in feet.

Find the period of a pendulum whose length is $2$2 feet. Give your answer to two decimal places.

Easy
1min

The walking speed (in feet per second) of a particular creature is modelled by $W\left(x\right)=4\sqrt{3x}$W(x)=43x, where $x$x is the length of the creature's legs (in feet).

Easy
2min

The length of a blue whale calf in its first few months is modelled approximately by the equation $l=1.5\sqrt{t+4}$l=1.5t+4, where $l$l represents its length in meters at $t$t months of age.

Easy
6min
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Outcomes

11.SF.RF.2

Definition of relation, pictorial diagrams, domain, co-domain and range of a relation. Function as a special kind of relation from one set to another. Pictorial representation of a function, domain, co-domain and range of a function. Real valued function of the real variable, domain and range of these functions, constant, identity, polynomial, rational, modulus, signum and greatest integer functions with their graphs. Sum, difference, product and quotients of functions.

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