an object is starting from rest and travels with a uniform acceleration 2m/s² for 1 min , its final velocity is ??
Answers
Given:-
→ An object starts from rest.
→ Acceleration of the object = 2 m/s²
→ Time taken = 1 min
To find:-
→ Final velocity of the object.
Solution:-
Firstly let's convert the time taken from min to sec .
⇒1 min = 60s
∴ Time = 60s
Also, in this case :-
• Initial velocity of the object will be zero
as it starts froms rest.
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By using the 1st equation of motion :-
v = u + at
Where :-
• v is final velocity of the object.
• u is initial velocity of the object.
• a is acceleration.
• t is time taken.
Substituting values, we get :-
⇒ v = 0 + 2(60)
⇒ v = 0 + 120
⇒ v = 120 m/s
Thus, final velocity of the object is 120m/s .
Some Extra Information:-
The 3 equations of motion for a body moving with uniform acceleration are :-
• v = u + at
• s = ut + ½at²
• v² - u² = 2as
We know,
v = u + at (1st eqⁿ of motion)
We have,
Initial velocity as = 0 m/s (rest)
Acceleration = 2 m/s²
Time = 1 min = 1 × 60 s = 60 s
Let, final velocity = v
∴ v = at
⇒ v = (2 m/s²)(60 s)
⇒ v = 120 m/s {answer}.
More:-
Equations of linear kinematics:-
- v = u + at
- s = ut + ½ at²
- 2as = v² - u²
- snth = u + a/2(2n - 1)