Question

a ball is thrown vertically upward from earth if the acceleration of 2m/s and gain a height of of 10 m.find initial speed.
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Answer 1

Answer:

The value of initial velocity is an irrational number

u = ± 6.325 i

Step-by-step explanation:

Given:

• Acceleration = a = 2 m/s²
• Height = s = 10 m
• Final velocity = v = 0

(Final velocity is taken as zero because when the ball reaches its maximum height, final velocity becomes zero)

To find:

Initial velocity = u = ?

Solution:

Here use the third equation of kinematic motion to solve this question.

v² - u² = 2as

⇒ 0 - u² = 2 × 2 × 10

⇒ -u² = 40

⇒ u² = -40

⇒ u = √(-40)

⇒ u = i√40

⇒ u = ± 6.325 i