the relation between position(x) and time(t) are given below for a particle moving along a straight line. which of the following equation represents uniformly accelerated motion? [ where a and b are positive contants].
1) bx = at + ab
2) ax = b + t
3) xt = ab
4) at = (b+x)1/2
Answers
Answered by
236
When position is given as a function of time, the velocity and acceleration are given as follows:
Now, we have to find which of the following options have uniformly accelerated motion.
That is, we have to find in which option the following condition is satisfied:
[Note that the constant must not be zero]
____________________________
We can now check each option individually.
is already used as a constant. So we will denote acceleration by .
The acceleration is zero. So, Option (1) does not represent a Uniformly Accelerated Motion.
Again, the acceleration is zero. So, Option (2) also does not represent a Uniformly Accelerated Motion.
Here we see that Acceleration is Inversely Proportional to the cube of time. Clearly, it is not constant. It is dependent on time. So, Option (3) also does not represent a Uniformly Accelerated Motion
Finally, we see that in this option, acceleration does come out to be constant. Thus, Option (4) represents a Uniformly Accelerated Motion.
Thus, The Final Answer is Option (4)
Now, we have to find which of the following options have uniformly accelerated motion.
That is, we have to find in which option the following condition is satisfied:
[Note that the constant must not be zero]
____________________________
We can now check each option individually.
is already used as a constant. So we will denote acceleration by .
The acceleration is zero. So, Option (1) does not represent a Uniformly Accelerated Motion.
Again, the acceleration is zero. So, Option (2) also does not represent a Uniformly Accelerated Motion.
Here we see that Acceleration is Inversely Proportional to the cube of time. Clearly, it is not constant. It is dependent on time. So, Option (3) also does not represent a Uniformly Accelerated Motion
Finally, we see that in this option, acceleration does come out to be constant. Thus, Option (4) represents a Uniformly Accelerated Motion.
Thus, The Final Answer is Option (4)
Answered by
6
Answer:
option d
Explanation:
Similar questions