A car starts from rest and attains a speed of 36km/h in 2 sec. calulate velocity of in 5 sec.
Answers
Given
A car starts from rest and attains a speed of 36 km/h in 2 sec
To Find
Velocity in 5 sec
Solution
We know that
Calculating acceleration
Equation of motion
Given that
A car starts from rest and attains a speed of 36 km/h in 2 sec
Hence
- u = 0 m/s [starts from rest]
- v = 36 km/h = 10 m/s
- t = 2 s
Substituting the values
We get
Hence
Calculating velocity in 5 sec
According to the question
We are asked to find velocity in 5 sec
Therefore
- t = 5 s
Given that
- u = 0 m/s [starts from rest]
We found out that
- a = 5 m/s²
Substituting the values in above given equation
We get
Therefore
Hence
Velocity in 5 sec = 25 m/s
Answer:
Given :-
- A car starts from rest and attains a speed of 36 km/h in 2 seconds.
To Find :-
- What is the final velocity in 5 seconds.
Formula Used :-
❶ To find acceleration we know that,
✰ a = v - u/t ✰
❷ To find velocity we know that,
★ v = u + at ★
where,
- v = Final velocity
- u = Initial velocity
- a = Acceleration
- t = Time
Solution :-
❶ First we have to find the acceleration,
Given :
- v = 36 km/h = 10 m/s
- u = 0 m/s
- t = 2 seconds
According to the question by using the formula we get,
⇒ a = 10 - 0/2
⇒ a = 10/2
➠ a = 5 m/s²
Hence, the acceleration is 5 m/s² .
❷ Now we have to find velocity,
Given :
- a = 5 m/s²
- u = 0 m/s
- t = 5 seconds
According to the question by using the formula we get,
↦ v = 0 + (5)(5)
↦ v = 0 + 25
➦ v = 25 m/s
∴ The velocity in 5 seconds is 25 m/s .