Draw xto t graphs for positive, negative and zero acceleration.

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2.Motion in Straight Line

medium

Draw the $x\to t$ graphs for positive, negative and zero acceleration.

Option A

Option B

Option C

Option D

Solution

The average acceleration equals the constant value of acceleration during the interval. If the velocity of an object is $v_{0}$ at $t=0$ and $v$ at time $t$,

$\bar{a}=\frac{v-v_{0}}{t}$

Standard 11

Physics

The deceleration experienced by a moving motor boat, after its engine is cut-off is given by $\frac{{dv}}{{dt}} = – k{v^3}$ , where $k$ is constant. If $v_0$ is the magnitude of the velocity at cut-off, the magnitude of the velocity at a time $t$ after the cut-off is

hard

What can be the angle between velocity and acceleration for the motion on a straight line ? Explain with example.

easy

A uniformly moving cricket ball is turned back by hitting it with a bat for a very short time interval. Show the variation of its acceleration with time (Take acceleration in the backward direction as positive).

medium

A street car moves rectilinearly from station $A$ to the next station $B$ with an acceleration varying according to the law $a=(b-c x)$, where $b$ and $c$ are constants and $x$ is the distance from station $A$. The distance between the two stations and the maximum velocity are

hard

A particle executes the motion described by $x(t) = x_0 (1 – e^{-\gamma t} )$ ; જ્યાં $t\, \geqslant \,0\,,\,{x_0}\, > \,0$.

$(a)$ Where does the particle start and with what velocity ?

$(b)$ Find maximum and minimum values of $x(t),\, v(t)$ $a(t)$. Show that $x(t)$ and $a(t)$ increase with time and $v(t)$ decreases with time.

hard

Draw the $x\to t$ graphs for positive, negative and zero acceleration.

Solution

Similar Questions

The deceleration experienced by a moving motor boat, after its engine is cut-off is given by $\frac{{dv}}{{dt}} = – k{v^3}$ , where $k$ is constant. If $v_0$ is the magnitude of the velocity at cut-off, the magnitude of the velocity at a time $t$ after the cut-off is

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