A car starts from rest. It moves through 2 km its speed in 100 s will be ?
Answers
Answer:
20m/100sec
Explanation:
Speed = Distance
Time Taken
Speed = 2000m
100 s
Speed = 20m/100sec
Answer :
›»› The Final velocity of car = 40 a
Given :
- Initial velocity of car = 0 m/s
- Distance travelled by car = 2 km
- Time taken by car = 100 sec
To Find :
- Final velocity of car = ?
Required Solution :
To find final velocity of car, at first we need to convert the Distance travelled by bus km to m to convert Distance km to m multiply the length value by 1000, then we will to find the Acceleration of car, after all this we will find Final velocity of car on the basis of conditions given above
→ Distance travelled = 2 km
→ Distance travelled = 2 × 1000
→ Distance travelled = 2000 m
We can find Acceleration of car by using the second equation of motion which says s = it + ½ at²
Here,
- s is the Distance in m.
- u is the Initial velocity in m/s.
- t is the Time taken in second.
- a is the Acceleration in m/s².
So let's calculate Acceleration (a) !
From second equation of motion
⇒ s = ut + ½ at²
⇒ 2000 = 0 × 100 + ½ × a × 100²
⇒ 2000 = 0 + ½ × a × 10000
⇒ 2000 = 0 + 1 × a × 5000
⇒ 2000 = 0 + a × 5000
⇒ 2000 = 0 + 5000a
⇒ 2000 = 5000a
⇒ 2000/5000 = a
⇒ 0.4 = a
⇒ a = 0.4 m/s²
Now, we have three elements that used in formula Initial velocity, Acceleration, and Time taken by a car,
- Initial velocity of car = 0 m/s
- Acceleration of car = 0.4 m/s²
- Time taken by car = 100 sec
And we need to find Final velocity of car.
We can find Final velocity of car by using the first equation of motion which says v = u + at.
Here,
- v is the Final velocity in m/s.
- u is the Initial velocity in m/s.
- a is the Acceleration in m/s².
- t is the Time taken in second.
So let's find Final velocity (v) !
From first equation of motion
⇛ v = u + at
⇛ v = 0 + 0.4 × 100
⇛ v = 0 + 40
⇛ v = 40 m/s
║Hence, the Final velocity of car is 40 m/s.║