Question

body is thrown vertically upwards and rises to a maximum height of 10m. The velocity with which the body was thrown upwards is (Take g = 9.8m/s2) 1) 10m/s 2) 14m/s 3) 20m/s 4) none of​

Answer 1

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option 2.

Body is thrown vertically upwards and rises

to a heights of 10 m.

To find velocity of the body was thrown

upwards.

GIVEN = [ g = 9.8 m/s² ]

According to the question,

maximum height = h = 10 m

At maximum height v = 0

initial velocity = u

Acceleration = a = -g = -9. 8 m/s²

From Newton third equation of

kinematics.

=> v² = u² + 2as

=> (0) ² = u² + 2 ( -9. 8 ) ( 10)

=> u² = 196

=> u = √196

=> u = 14 m/s

Therefore,

Velocity of the ball thrown upwards

=> 14 m/s

Answer 2

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★ Option.B ) 14m/s

$\sf{\huge{\underline{\purple{Explanation :-}}}}$

Given :-

• A body is thrown vertically upwards.

• The body rises to a maximum height of 10m.

To Find :-

• The velocity with which the body was thrown upwards .

Formula To be used :-

• v² = u² + 2 gh

Solution :-

We have,

• h = 10 m

• g = 9.8 m/s²

As, the body is thrown vertically upwards , the velocity is zero.

• v = 0 m/s

• u = ?

We know that,

v² = u² + 2 gh

➝ 0² = u² + 2 × 9.8 × 10

➝ 0² = u² + 2 × 98

➝ 0² = u² + 2 × 98

➝ 0² = u² + 196

➝ 0 × 0 = u² + 196

➝ 0 = u² + 196

➝ u² = 196

➝ u = √196

➝ u = √14 × 14

➝ u = 14 m/s

So, The velocity with which the body was thrown upwards is 14 m/s .

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