Question

if an object is dropped from a height of 100 m and acceleration due to gravity is 10 m/s2 find it's final velocity and time taken to reach the ground ​

Answer 1

Answer:

• Final velocity (v) = 44.72 m/s
• Time taken (t) = 4.47 sec

Explanation:

Given:

• Height (h) = 100 m
• Acceleration due to gravity (g) = 10 m/s²

To Find:

• Final Velocity (v).
• Time taken (t).

Now, from 3rd equation,

⇒ v² = u² + 2gh

⇒ v² = 0 + 2 × 10 × 100

⇒ v² = 0 + 2000

⇒ v² = 2000

⇒ v = 44.72 m/s

Now, from 1st equation of motion,

⇒ v = u + at

⇒ 44.72 = 0 + 10t

⇒ t = 44.72/10

⇒ t = 4.47 sec.

Hence,

• Final velocity (v) = 44.72 m/s
• Time taken (t) = 4.47 sec