A particle has initial velocity (2hat i + 3ha | vedclass

Name: PDF Generator App | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

$\begin{array}{l}
\,\,\,\,\,\,\,\,\,\,\,\,\,Here,\
Initial\,velocity,\,\overline u  = 2\hat i + 3\hat j\
Acceleration,\,\overline a  =

Vedclass · Accepted Answer

$5\sqrt 2 $  Units

Vedclass · Answer

$\begin{array}{l}
\,\,\,\,\,\,\,\,\,\,\,\,\,Here,\
Initial\,velocity,\,\overline u  = 2\hat i + 3\hat j\
Acceleration,\,\overline a  = 0.3\hat i + 0.2\hat j\
Time\,,\,t = 10\,s\
Let\,\overline v \,be\,velocity\,of\,a\,particle\,\
after\,10\,s.
\end{array}$

$\begin{array}{l}
{m{Using,}}\,\overline v \, = \overline u  + \,\overline a t\
	herefore \,\,\,\overline v  = \left( {2\hat i + 3\hat j} ight) + \left( {0.3\hat i + 0.2\hat j} ight)\left( {10} ight)\
\,\,\,\,\,\,\,\,\, = \,2\hat i + 3\hat j + 3\hat i + 2\hat j = 5\hat i + 5\hat j\
Speed\,of\,the\,particle\,after\,10\,s = \left| {\overline v } ight|\
\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = \sqrt {{{\left( 5 ight)}^2} + {{\left( 5 ight)}^2}}  = 5\sqrt 2 \,units
\end{array}$

A particle has initial velocity $(2\hat i + 3\hat j ) $ and has acceleration $(0.3\,\hat i + 0.2\,\hat j)$ . Its speed after $10\,s$ is

Similar Questions

If the position vector of a particle is

$\vec r = - \cos \,t\hat i + \sin \,t\hat j - 18\,t\hat k$

then what is the magnitude of its acceleration ?

A car travels $6\, km$ towards north at an angle of $45^o$ to the east and then travels distance of $4\, km$ towards north at an angle $135^o$ to east. How far is the point from the starting point? What angle does the straight line joining its initial and final position makes with the east?

What do you mean by term relative velocity ?

The graph of position $x$ versus time $t$ represents the motion of a particle. If $b$ and $c$ are both positive constants, which of the following expressions best describes the acceleration $a$ of the particle?

A ball is rolled off along the edge of a horizontal table with velocity $4 m/s$. It hits the ground after time $0.4 \,\,s$. Which of the following are correct?