Motion in a straight Line Quiz-1

A particle start from rest and has a uniformly accelerated motion.s is distance travelled in time interval t = 4s to t = 5s. $s_1$ is distance travelled in time interval t = n and t = n+1. $\frac{S_1}{S}=\frac{15}{9}.$ n is

A ball A is thrown vertically upwards with an initial speed v. A second ball B is thrown vertically upwards from same point at same speed n second later. The two meet one another before returning back to the point of projection. The maximum value of n is

Given, $A=a\hat i+b\hat j$ and $B=c\hat i+2b\hat j$. Also $a^2=c^2+nb^2.$ (A + B) is perpendicular to(A - B); n is

$A=10\hat i-2.5\hat j\,;B=3\hat i+4 \hat j.$The component of A in the direction of B is

A particle moves in a horizontal circle of radius r. The angular velocity of particle varies at a constant rate $\alpha$. The acceleration of the particle is

A stone of mass m, tied to one end of string , is moving in a horizontal circle. The length of string is gradually reduced in such a manner that the instantaneous tension T in string is $T=\frac k{r^3}$ where k is a constant. For the motion, the quantity that remains constant is:

A particle moving in a plane is acted upon by a force of constant magnitude. F and v denote instantaneous force and velocity of particle. F.v is zero at every moment of time. The path of particle is

The minute's hand of a clock is 30cm long. The magnitude of change in velocity of the tip of minutes hand of clock is $\frac{\pi}{6}\,mms^{-1}$ The time interval is

In space, far off from any gravitating matter; two particles A and B move in horizontal and vertical circles of radii in ratio of 1:2. The speed of the two particles are in ratio of 3:2. Which of the following statement is correct?

if $|A\times B|=\sqrt3(A\bullet B),$ the value of $\frac12\{|A+B|^2-|A-B|^2\}$ is: