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2.Motion in Straight Line
medium
The velocity of a body depends on time according to the equation $v=\frac{t^2}{10}+20$. The body is undergoing
A
Uniform acceleration
B
Uniform retardation
C
Non-uniform acceleration
D
Zero acceleration
Solution
(c)
$v=\frac{t^2}{10}+20$
To find acceleration find $\frac{d v}{d t}$
So, $a=\frac{d v}{d t}=\frac{2 t}{10}+0$
$\Rightarrow a=\frac{t}{5} \Rightarrow a \propto t$
$\because a$ is a function of time so it is not constant, rather it is non-uniform.
Standard 11
Physics
Similar Questions
Refer to the graph in figure. Match the following
| Graph | Characteristics |
| $(A)$ | $(i)$ has $v > 0$ and $a < 0$ throughout |
| $(B)$ | $(ii)$ has $x > 0,$ throughout and has a point with $v = 0$ and a point with $a = 0$ |
| $(C)$ | $(iii)$ has a point with zero displacement for $t > 0$ |
| $(D)$ | $(iv)$ has $v < 0$ and $a > 0$ |
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In the $s-t$ equation $\left(s=10+20 t-5 t^2\right)$, match the following columns.
| Colum $I$ | Colum $II$ |
| $(A)$ Distance travelled in $3\,s$ | $(p)$ $-20$ units |
| $(B)$ Displacement in $1\,s$ | $(q)$ $15$ units |
| $(C)$ Initial acceleration | $(r)$ $25$ units |
| $(D)$ Velocity at $4\,s$ | $(s)$ $-10$ units |
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