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Read the given passage and fill in the b...

Read the given passage and fill in the blanks by selecting an appropriate option.
The velocity-time graphs of a car and a scooter are shown in the figure. The difference between the distance travelled by the car and the scooter in first 15 s is __(i)__ and the time at which the car will catch up with the scooter is ___(ii)___ . At time t = 10 s, acceleration of car is ___(iii)___ while velocity of scooter is (iv).

A

(i) - 112.5 m , (ii) 15 s , (iii) 1 m `s^(-2)` , (iv) 0 m `s^(-1)`

B

(i)-337.5 m , (ii)-10 s , (iii) - `"2 m s"^(-2)` , (iv) `"30 m s"^(-1)`

C

(i) 112.5 m , (ii)22.5 s , (iii) `"3 m s"^(-2)` , (iv) `"30 m s"^(-1)`

D

(i) 225.5 m , (ii) 25 s , (iii)`"3 m s"^(-2)` , (iv) `"15 m s"^(-1)`

Text Solution

Verified by Experts

The correct Answer is:
C
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The velocity-time graphsof a car and a scooter are shown in the figure. (i) The difference between the distance travelled by the car and the scooter in 15 and (ii) the time at which the car will catch up with the scooter are, respectively.

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Knowledge Check

  • The velocity- time graph of car moving on a straight track is given below. The car weight 1000kg. The distance travelled by the car during the whole motion is:

    A
    50m
    B
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    C
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    D
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  • The distance x travelled by the car in above problem in time t is given by -

    A
    `x = (t^(2))/(2) ((alpha beta)/(alpha - beta))`
    B
    ` x = t^(2) ((alpha beta)/(alpha + beta))`
    C
    `x = t^(2) ((alpha + beta)/(alpha - beta))`
    D
    `x = (t^(2))/(2) ((alpha beta)/(alpha + beta))`
  • The velocity time graph of the motion of a car is given here.

    A
    The distance travelled by the car in the first six seconds is 150 m.
    B
    The deceleration of the car during the last two seconds are `-15 m/s^(2)`.
    C
    The distance travelled by the car in the first six second is 220 m.
    D
    The deceleration of the car during the last two second is `-20 m/s^(2)`
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