Question

8) An Ostrich can accquire a velocity of 144kmph
in 2s, while a leopard can accquire a velocity
of 108 kmph in 3s. Pond the ratio of their
acceleration​

Answer 1

Given :-

Final velocity of ostrich in 2 s = 144 km/h

Final velocity of leopard in 2 s = 108 km/h

To Find :-

Ratio of the acceleration of ostrich and leopard.

Solution :-

We know that,

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

Acceleration of ostrich:

Using the formula,

$\underline{\boxed{\sf First \ equation \ of \ motion=v=u+at}}$

Given that,

Final velocity (v) = 144 km/h = 40 m/s

Time taken (t) = 2 s

Substituting their values,

40 = 0 + (a) × 2

40 = 2a

a = 40/2

a = 20 m/s²

Acceleration of leopard:

$\underline{\boxed{\sf First \ equation \ of \ motion=v=u+at}}$

Given that,

Final velocity (v) = 108 km/h = 30 m/s

Time taken (t) = 3 s

Substituting their values,

30 = 0 + (a) × 3

30 = 3a

a = 30/3

a = 10 m/s²

Finding the ratio of their acceleration,

Acceleration of leopard = 20 m/s²

Acceleration of ostrich = 10 m/s²

20 : 10 = 20/10

= 2 : 1

Therefore, the ratio of their acceleration is 2 : 1.