MCQ
A particle, moving with uniform speed $v$, changes its direction by angle $\theta$ in time $t$. Magnitude of its average acceleration during this time is
  • A
    zero
  • $\frac{2 v}{t} \sin \frac{\theta}{2}$
  • C
    $\frac{v \sqrt{2}}{t}$
  • D
    None of these

Answer

Correct option: B.
$\frac{2 v}{t} \sin \frac{\theta}{2}$
b
(b)

$a_{ av }=\left|\frac{\Delta v }{\Delta t}\right|=\frac{\left| v _f- v _i\right|}{t}$

$=\frac{\sqrt{v^2+v^2-2 v \cdot v \cdot \cos \theta}}{t}$

$=\frac{2 v}{t} \sin \frac{\theta}{2}$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Similar questions

If a body starts from rest and travels $120 \,cm$ in the $6^{th}$ second, then what is the acceleration.........$m/{s^2}$
A Carnot engine whose low temperature reservoir is at $7\,°C$ has an efficiency of $50\%$. It is desired to increase the efficiency to $70\%$. By how many degrees should the temperature of the high temperature reservoir be increased ....... $K$
The displacement of a particle varies according to the relation $x = 4(cos\pi t + sin\pi t).$ The amplitude of the particle is
The property of a body by virtue of which it tends to regain its original size and shape of a body when applied force is removed, is known as:
The platelets are drifting with the blood flowing in a streamline flow through a horizontal artery as shown below Artery is contracted in region $II$. Choose the correct statement.
The maximum range of a bullet fired from a toy pistol mounted on a car at rest is $R_0= 10\, m$. What will be the acute angle of inclination of the pistol for maximum range when the car is moving in the direction of firing with uniform velocity $v = 20\, m/s$, on a horizontal surface ......... $^o.$ $(g = 10\, m/s^2)$
Which one of the following four graphs best depict the variation with $x$ of the moment of inertia $I$ of a uniform triangular lamina about an axis parallel to its base at a distance $x$ from it?
Which of the following velocity-time graphs represent uniform motion
The maximum error in the measurement of resistance, current and time for which current flows in an electrical circuit are $1 \%, 2 \%$ and $3 \%$ respectively. The maximum percentage error in the detection of the dissipated heat will be
A spherical body of mass $2\,kg$ starting from rest acquires a kinetic energy of $10000\,J$ at the end of $5^{\text {th }}$ second. The force acted on the body is $.....N$