Home
Class 12
MATHS
The position of a point in time t is giv...

The position of a point in time t is given by `x=a+bt-ct^(2),y=at+bt^(2)`. Its acceleration at time t is

A

b-c

B

b+c

C

2b-2c

D

`2sqrt(b^(2)+C^(2))`

Text Solution

Verified by Experts

The correct Answer is:
D
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • PRACTICE SET 19

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise Paper 2 (Mathematics)|50 Videos
  • PRACTICE SET 21

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise PAPER 2 (MATHEMATICS)|50 Videos

Similar Questions

Explore conceptually related problems

The position of a body wrt time is given by x = 3t^(3) -6t^(2) + 12t + 6 . If t = 0, the acceleration is___________

The position "x" of a particle varies with time (t) as x=At^(2)-Bt^(3)" .the acceleration at time t of the particle will be equal to zero

Knowledge Check

  • A point moves such that its displacement as a function of times is given by x^(2)=t^(2)+1 . Its acceleration at time t is

    A
    `(1)/(x^3)`
    B
    `-(1)/(x^(2))`
    C
    `(1)/(x)-(t^(2))/(x^(3))`
    D
    `(1)/(x)-(t)/(x^(3))`
  • The position x of a particle varies with time t as x=at^(2)-bt^(3) . The acceleration at time t of the particle will be equal to zero, where (t) is equal to .

    A
    `(2a)/(3b)`
    B
    `(a)/(b)`
    C
    `(a)/(3b)`
    D
    zero
  • The position x of a particle with time, (t) as x=at^(2)-bt^(3) . The acceleration will be zero at time t equal to

    A
    `(a)/(3b)`
    B
    Zero
    C
    `(2a)/(3b)`
    D
    `(a)/(b)`
  • Similar Questions

    Explore conceptually related problems

    The position x of a particle varies with time t as x=At^(2)-Bt^(3) .the acceleration at time t of the particle will be equal to zero

    The position "x" of a particle varies with time "(t)" as "x=at^(2)-bt^(3)". The Acceleration at time t of the particle will be equal to zero, where "t" is equal to

    The position x of a particle varies with time t as X=at^(2)-bt^(3).The acceleration of the particle will be zero at time (t) equal to

    A particle moves in a straight line and its position x at time t is given by x^(2)=2+t . Its acceleration is given by :-

    The position of a body with respect to time is given by x = 4t^(3) – 6t^(2) + 20 t + 12 . Acceleration at t = 0 will be-