If a body is dropped freely under gravity, then its velocity after 4 second will be.
Answers
Initial velocity of the body (u) = 0 m/s
Since dropped freely under gravity
Acceleration due to gravity (g) = 10 m/s²
Time (t) = 4 s
Velocity after 4 s (v) = ? m/s
Apply 1st equation of motion ,
→ v = u + at
→ v = u + gt
→ v = (0) + (10)(4)
→ v = 0 + 40
→ v = 40 m/s
Velocity of the body after 4 seconds is 40 m/s
More Info :
⊕ Equations of motion :
→ v = u + at
→ s = ut + ¹/₂ at²
→ v² - u² = 2as
→ Sₙ = u + ᵃ/₂ ( 2n - 1 )
➲GIVEN:-
•Intial velocity,(u) =0 m/s
•time(t)=4s
➲TO FIND OUT:-
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•Final velocity after 4 s (v)=?⠀⠀⠀
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➲ANSWER:-
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•Since the body is dropped freely under gravity
So,Acceleration due to gravity (a)=9.8m/s²
➣Now using 1st equation of motion ,we have
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➱v=u+at
➱v=0+4×9.8
➱v=39.2 m/s
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➣Or (Taking a=10 m/s²) we have,
➱v=0+4×10
➱v=40m/s
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NOTE-In question the exact value of acceleration due to gravity is not mentioned. So we solved by both the value of 'a' and both answers are correct.
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MORE INFORMATION WHEN OBJECT DROPPED IN FREELY UNDER GRAVITY.
• Final Velocity is calculated gravity × time.
• The distance the object falls, or height, h, is 1/2 gravity × the square of the time falling.