Question

2. A cheetah spots his prey at a distance of 200 m, what is the minimum
time it will take to get its prey, if the average velocity attained by it is 90
km/h?​

Answer 1

$\checkmark$ Given:

A cheetah spots his prey at a distance of 200 m

The average velocity attained by it is 90  km/h

$\checkmark$ To Find:

Minimum  time it will take to get its prey

$\checkmark$ Solution:

We know that,

$\red{\bigstar \ \boxed{\rm t=\dfrac{s}{v}}}$

Here,

• t = Time
• s = Distance
• v = speed

Given that,

A cheetah spots his prey at a distance of 200 m

The average velocity attained by it is 90  km/h

Converting km/h to m/s

$\pink{\rm km/h \longrightarrow m/s}$

[divide the speed value by 3.6]

Therefore,

$\green{\implies \rm v=\dfrac{90}{3.6} \ m/s}$

$\orange{\rm \implies v=25 \ m/s}$

Hence,

• s = 200 m
• v = 25 m/s

According to the Question,

We are asked to find the Minimum  time it will take to get its prey

So, find time (t)

Therefore,

By Substituting the above values in the formula,

We get,

$\blue{\rm \implies t=\dfrac{200}{25} \ sec}$

$\pink{\rm \implies t=8 \ sec}$

Hence.

Minimum time it will take to get its prey is 8 seconds

Answer 2

Answer:

Given:

• A cheetah spots his prey at a distance of 200 m.

Find:

• What is the minimum time it will take to get its prey.

Know terms:

• Concerting km/hr into m/s.

Using formula:

• Time = Distance/Speed
• Time = Distance/Velocity

Calculations:

= 90/3.6

= 25 m/s

= 200/25

= 8 sec

Therefore, 8 cm is the minimum time it will take to get its prey.