A particle starts from rest and moves along a straight line with an acceleration given by $a = 6t - 4$, where $a$ is in $m/s^2$ and $t$ is in seconds. At what time is the velocity of the particle zero after the start of motion?

The displacement of two objects, $M$ and $N$, moving along a straight line are given by $x_M(t) = 2t + 4t^2$ and $x_N(t) = 8t - 2t^2$ respectively. At what time do they have the same velocity?

Percentage of total distance covered in 5th Second by a freely falling body is

A particle moves in the east direction with 15 m/sec for 2 sec then northwards with 5 m/s for 8 sec. Average speed of the particle is

A body starts from rest, with uniform acceleration. If its velocity after n seconds is v,then its displacement in the last two seconds is

An aeroplane files around a square field ABCD of each side 1000 km. Its speed along AB is $250\;km\;{h^{ - 1}}$, along DA $100\;km\;{h^{ - 1}}$. Its average speed (in $km\;{h^{ - 1}}$)) over the entire trip is

A Car moving on a straight road accelerates from $4.1\,\,m/s$ to $6.9\,\,m/s$ in $5s$. Then its average acceleration is $\left[ {{\rm{in}}\,\,{\rm{SI}}\,\,{\rm{units}}} \right]$

A boat travels 50 km east, then 120 km north and finally it comes back to the starting point through the shortest distance. The total time of journey is 3 h. What is the average speed, in ${\rm{km}}{{\rm{h}}^{ - 1}},$, over the entire trip?

A particle starts from rest and moves along a straight line with an acceleration given by $a = 6t - 4$, where $a$ is in $m/s^2$ and $t$ is in seconds. At what time is the velocity of the particle zero after the start of motion?

If ${S_n} = 2 + 0.4n$, find initial velocity and acceleration $\left[ {{\rm{in}}\,\,{\rm{units}}} \right]$

The acceleration of a particle is increasing linearly with time t as bt.The particle starts from the origin with an initial velocity ${v_0}$. The distance travelled by the particle in time t will be