If the velocity of a particle is $\left( {10 + 2{t^2}} \right)m/s$, then the average acceleration of the particle between 2s and 5s is

A particle moves with a constant speed v in a horizontal circular path. The change in its velocity on covering ${90^0}$ will be

A car runs at a constant speed on a circular track of radius 100 m, taking 62.8 s for every circular lap. The average velocity and average speed for each circular lap 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 $\left[ {{\rm{in}}\,\,{\rm{SI}}\,\,{\rm{units}}} \right]$

The position coordinates of a particle moving in X-Y as a function of time t are $\;\;x = 2{t^2} + 6t + 25\,,\,y = {t^2} + 2t + 1$ The speed of the object at t=10 s is approximately

The velocity ‘V’ of a moving object varies with displacement ‘x’ as $v = 3{x^2} - 2x$ , then the value of acceleration at x = 2 m is

A stone is thrown vertically upwards with an initial velocity $u$. After reaching a height $h$, its velocity becomes $\frac{u}{2}$. What is the maximum height reached by the stone?

A man of mass M stands at one end of a plank of length which is at rest on a frictionless horizontal surface. The man walks to the other end of the plank. If mass of the plank is M/3, the distance that the man moves relative to ground is

Select the incorrect statements from the following

S1 : Average velocity is path length divided by time interval

S2 : In general, speed is greater than the magnitude of the velocity

S3 : A particle moving in a given direction with a non-zero velocity can have zero speed

S4 : The magnitude of average velocity is the average speed

An object is projected horizontally with a velocity 'u'. Ignoring air resistance, which of the following remains constant throughout its motion?

A particle covers half of its total distance with speed ${v_1}$ and the rest half distance with speed ${v_2}$. Its average speed during the complete journey is