If the decrease in velocity is the same in equal intervals of time,then describe the $x-t$ graph.
- A$A$ straight line with positive slope
- B$A$ straight line with negative slope
- C$A$ parabola opening downwards
- D$A$ parabola opening upwards
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Similar Questions
$A$ train accelerates from rest at a constant rate $\alpha$ for distance $x_1$ and time $t_1$. After that,it retards to rest at a constant rate $\beta$ for distance $x_2$ and time $t_2$. Which of the following relations is correct?
Difficult
View SolutionDraw the $x-t$ graph for negative acceleration.
Easy
View SolutionMatch the relations in Column-$I$ with the equations in Column-$II$ for uniformly accelerated motion.
Column-$I$ Column-$II$ $(1)$ Velocity-time relation $(a)$ $v = v_0 + at$ $(2)$ Velocity-displacement relation $(b)$ $S = v_0t + \frac{1}{2}at^2$ $(c)$ $v^2 = v_0^2 + 2as$
| Column-$I$ | Column-$II$ |
|---|---|
| $(1)$ Velocity-time relation | $(a)$ $v = v_0 + at$ |
| $(2)$ Velocity-displacement relation | $(b)$ $S = v_0t + \frac{1}{2}at^2$ |
| $(c)$ $v^2 = v_0^2 + 2as$ |
Easy
View SolutionThe distance $x$ covered by a particle in one-dimensional motion varies with time $t$ as $x^{2}=at^{2}+2bt+c$. If the acceleration of the particle depends on $x$ as $x^{-n}$,where $n$ is an integer,the value of $n$ is
DifficultJEE MAIN 2020
View SolutionThe initial velocity of a particle is $u$ (at $t = 0$) and the acceleration is given by $a(t) = at$. Which of the following relations is valid?
Easy
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