Which of following represents uniformly accelerated motion?

English

Gujarati

Hindi

2.Motion in Straight Line

medium

Which of the following represents uniformly accelerated motion?

A

$x=\sqrt{\frac{t+a}{b}}$

B

$x=\frac{t+a}{b}$

C

$t=\sqrt{\frac{x+a}{b}}$

D

$x=\sqrt{t+a}$

Solution

(c)

$t=\sqrt{\frac{x+a}{b}}$

or

$(x+a) =b t^2$

$x =-a+b t^2$

Comparing this equation with general equation of uniformly accelerated motion, $s=s_i+u t+\frac{1}{2} a t^2$

Standard 11

Physics

Share

Similar Questions

Velocity of a body moving along a straight line with uniform acceleration $a$ reduces by $\frac{3}{4}$ of its initial velocity in time $t_0$. The total time of motion of the body till its velocity becomes zero is

medium

A particle starts from rest and traverses a distance $l$ with uniform acceleration, then moves uniformly over a further distance $2 l$ and finally comes to rest after moving a further distance $3 l$ under uniform retardation. Assuming entire motion to be rectilinear motion the ratio of average speed over the journey to the maximum speed on its ways is

hard

A small block slides without friction down an inclined plane starting from rest. Let ${S_n}$be the distance travelled from time $t = n – 1$ to $t = n.$ Then $\frac{{{S_n}}}{{{S_{n + 1}}}}$ is

medium

(IIT-2004)

A metro train starts from rest and in five seconds achieves $108\, km/h$. After that it moves with constant velocity and comes to rest after travelling $45\, m$ with uniform retardation. If total distance travelled is $395\,m$, then total time of travelling is…….$sec$

medium

A body is moving with uniform acceleration describes $40\, m$ in the first $5 \,sec$ and $65\, m$ in next $5 \,sec$. Its initial velocity will be……..$m/s$

hard