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A toy car with charge q moves on a frict...

A toy car with charge q moves on a frictionless horizonatal plane surface under the influence of a uniform electric field E. Due to the force q E, its veocity increases from 0 to 6 `m//s` in one second duration.At that instant, the direction of the field is reversed.The car continues to move for two more seconds under the influence of this field.The average velocity and the average speed of the toy car between 0 to 3 seconds are respectively

A

1 m/s, 3.5 m/s

B

1 m/s, 3 m/s

C

2 m/s, 4 m/s

D

1.5 m/s , 4 m/s

Text Solution

Verified by Experts

The correct Answer is:
B

Accerleration `a=(6-0)/(1)=6 ms^(-2)`
For t=0 to t-1 s,
`S_(1)=(1)/(2)xx6(1)^(2)=3m" "…(i)`
For t=1 s to t=2 s ,
`S_(2)=6.1 -(1)/(2)xx6(1)^(2)=3m " "…(ii)`
For t=2 s to t=3 s ,
`S_(3)=0-(1)/(2)xx6(1)^(2)=-3m" "...(ii)`
Total displacement `S=S_(1)+S_(2) +S_(3)`=3m
Average velocity `=(3)/(3)=1 ms^(-1)`
Total distance travelled =9 m
Average speed `=(9)/(3)=3 ms^(-1)`
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