A motorcycle moving with a speed of 5m/s is subjected to an acceleration of 0.2 m/s∧2
Calculate the speed acquired and the distance travelled in this time.
Answers
Answer:
Explanation:
Correct Question,
(Time taken is not given)
A motor cycle moving with speed of 5m/s is subject to an acceleration of 0.2m/s²
. Calculate the speed of motorcycle after 10 second, and the distance travelled in this time.
Answer,
Given,
Initial velocity, u = 5 m/s
Acceleration, a = 0.2 m/s²
Time taken, t = 10 seconds
To Find,
Final velocity, v = ?
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
⇒ v = 5 + 0.2 × 10
⇒ v = 5 + 2
⇒ v = 7 m/s
Hence, the speed acquired is 7 m/s.
Now, the distance covered,
v² - u² = 2as
⇒ (7)² - (5)² = 2 × 0.2 × s
⇒ 49 - 25 = 0.4s
⇒ 24 = 0.4s
⇒ 24/0.4 = s
⇒ s = 60 m
Hence, the distance covered is 60 m.
Answer:
- 1) Given that
- The initial speed of car=u= 5 m/s
- Acceleration =a=0.2m/s2
- Time=t=10s
- We need to calculate the distance
- We know that
- v = u + at
- = 5 + 0.2×10
- = 5+2
- = 7 m/s
- s = ut + 1/2at²
- = (5×10) + (1/2)×(2/10)×(10×10)
- = 50 + 10
- = 60 m
- Final speed = 7 m/s
- Distance traveled in 10 seconds = 60 m
- 2) Given that
- Initial velocity = 18 km/h
- We will express it in m/s
- So Initial velocity = 18 km/h= 18×5/18 m/sec= 5 m/sec
- The final velocity = zero
- Acceleration = change in velocity/time
- = ( final velocity – intial velocity)/time
- = ( 0 – 5)/2.5 = -2 m/s²
- so, retardation = 2m/s²