Question

An Ostrich can acquire a velocity of 144 kmph in 2 s while a Leopard can acquire a
velocity of 108 kmph in 3 s. Find the ratio of their accelerations.
a) 2:1
b) 2:3
c) 4:1
d) 4:3​


please answer fast with proper answer.

Answer 1

Given:-

→ Velocity of the ostrich = 144 kmph

→ Velocity of the Leopard = 108 kmph

→ Time taken by the Ostrich = 2 s

→ Time taken by the Leopard = 3 s

To find:-

→ Ratio of their accelerations.

Solution:-

Firstly, let's convert the velocities of the Ostrich and Leopard from kmph to m/s.

⇒ 1 kmph = 5/18 m/s

⇒ 144 kmph = 144×5/18

⇒ 40 m/s [Ostrich]

⇒ 108 kmph = 108×5/18

⇒ 30 m/s [Leopard]

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Since the Ostrich and the Leopard acquires a given speed, so they were initially at rest. Thus, their initial velocities (u) will be zero.

Acceleration of the Ostrich :-

⇒ a = v - u/t

⇒ a = 40 - 0/2

⇒ a = 40/2

⇒ a = 20 m/s²

Acceleration of the Leopard :-

⇒ a = v - u/t

⇒ a = 30 - 0/3

⇒ a = 30/3

⇒ a = 10 m/s²

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Now, ratio of their accelerations :-

= 20 m/s² : 10 m/s²

= 20 m/s²/10 m/s²

= 2/1

= 2 : 1

Thus, required ratio is 2 : 1 [Option.a]

Answer 2

Answer:

Given :-

• An Ostrich can acquire a velocity of 144 kmph in 2 s while a leopard can acquire a velocity of 108 kmph in 3 s.

To Find :-

• What is the ratio of their accelerations.

Formula Used :-

★ a = (v - u)/t ★

where,

• a = Acceleration
• v = Final velocity
• u = Initial velocity

Solution :-

➲ In case of Ostrich :

• Final Velocity = 144 kmph
• Time = 2 seconds

➲ In case of Leopard :

• Final Velocity = 108 kmph
• Time = 3 seconds

First, we have to convert kmph into m/s :

➦ For Ostrich :

↦ 144 kmph = 144 × 5/18 =

↦ 40 m/s

➦ In case of Leopard :

↦ 108 kmph = 108 × 5/18

↦ 30 m/s

Now, we have to find the acceleration :

Given :

• Final Velocity = 40 m/s
• Time = 2 seconds
• Initial Velocity = 0 m/s

➣ In case of Ostrich :

⇒ a = 40 - 0/2

⇒ a = 40/2

➩ a = 20 m/s²

➣ In case of Leopard :

Given :

• Final Velocity = 30 m/s
• Time = 3 seconds
• Initial Velocity = 0 m/s

⇒ a = 30 - 0/3

⇒ a = 30/3

➩ a = 10 m/s²

So, their ratio of acceleration will be :

➙ Acceleration of Ostrich /Acceleration of Leopard

↬ 20/10

↬ 2/1

➠ 2 : 1

∴ The ratio of their accelerations of Ostrich and Leopard is 2 : 1.

Hence, the correct options is option no (a) 2 : 1 .