A motor cycle moving with as speed of 5m/s is subjected to an acceleration of 0.2m/s.Cal the speed of the motor cycle after 10s and the distance travelled in this time?
Answers
Answer:
60 m
Step by step explanation:
U = 5 m/sec
a = 0.2 m/sec ^ 2
t = 10 sec
USING 1ST EQ OF MOTION,
v = u + at
v = 5 + 0.2×10
v = 5 + 2
v = 7 m/sec
FINAL VELOCITY = 7 m/sec
2nd EQ OF MOTION,
s = ut + 1/2 at^2
s = 5 × 10 + 1/2 × 2/10×10×10
s = 50 + 10
s = 60m
DISTANCE = 60 m
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✬ Final Velocity = 7 m/s ✬
✬ Distance = 60 m ✬
Explanation:
Given:
- Initial speed of motorcycle is 5 m/s.
- Acceleration produced by motorcycle is 0.2 m/s².
- Time is 10 seconds.
To Find:
- What is the final velocity and Distance travelled by motorcycle?
Formula to be used:
- a = v – u/t ( for acceleration )
- s = ut + 1/2at²
Solution: Let the final velocity be v.
Finding acceleration
0.2 = v – u/t
0.2 = v – 5/10
0.2(10) = v – 5
2 + 5 = v
7 = v
So , final velocity of or speed of motorcycle after 10 seconds is 7 m/s.
Now, Distance travelled is
s = ut + 1/2at²
s = 5 10 + 1/2 0.2 10²
s = 50 + 0.2/2 100
s = 50 + 0.2 50
s = 50 + 10
s = 60 m
Hence, Distance traveling by the motorcycle after 10 seconds is 60 m.