A stone is thrown in a vertically upward direction with a velocity of 5m/s. If the acceleration of the stone during its motion is 10m/s2 in the downward direction , what will be the height attained by the state and how much time will it take to reach there
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Answer:
Explanation:
Time taken, t = ??
Distance covered, s = ?
Formula to be used :
1st equation of motion, v = u + at
3rd equation of motion, v² - u² = 2as
Solution :
Putting all the values, we get
v=u + at
→ 0 = -5 + (-10) × t
→ - 5 = -10 t
→ 5/10 = t
⇒ t = 1/2
⇒ t = 0.5 seconds
Hence, the time taken by stone to reach there is 0.5 seconds.
Now, using v² - u² = 2as
(0)²-(5)² = 2 × (-10) × s
⇒-25-20 × s
- 25/- 20 = s
⇒ s = 1.25
Hence, the time taken by stone to reach there is 0.5 seconds.
Now, using v² - u² = 2as
(0)²-(5)² = 2 × (-10) × s
- 25= 20 x s
- 25/- 20 = s
⇒ s = 1.25
Hence, the height attained by stone is 1.25 seconds.
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