A body is initially moving with a velocity of 15m/s. It undergoes an acceleration of 4m/s
2
for 6 seconds. Find the displacement (in m) of this body in these 6 seconds.
- A18
- B162
- C81
- D36
Solution & Step-by-step Explanation
Given data:
Initial velocity (u) = 15m/s
Acceleration (a) = 4m/s
2
Time (t) = 6s
Using the second equation of motion:
s=ut+
2
1
at
2
Substitute the given values:
s=(15×6)+
2
1
×4×(6)
2
s=90+2×36
s=90+72=162m
Hence, the displacement of the body is 162m.
Initial velocity (u) = 15m/s
Acceleration (a) = 4m/s
2
Time (t) = 6s
Using the second equation of motion:
s=ut+
2
1
at
2
Substitute the given values:
s=(15×6)+
2
1
×4×(6)
2
s=90+2×36
s=90+72=162m
Hence, the displacement of the body is 162m.