Physics Motion in Plane

A clock has a continuously moving second's hand of 0.1 m length. The average acceleration of the tip of the hand (in units of ms?²) is of the order of:

A particle is moving along the $x$ $$ -axis with its coordinate with time ' $t$ $$ ' given by $x\left(t\right)=10+8t-3t^2$ ${}^{}$ . Another particle is moving along the $$ $y$ -axis with its coordinate a function of time given by $y\left(t\right)=5-8t^3$ ${}^{}$ . At $t=1\mathrm{s}$ $$ , the speed of the second particle as measured in the frame of the first particle is given as $\sqrt[]{v}$ $\text{exception 25:}$ . Then $v$ $$ (in $$ ) $\mathrm{m}/\mathrm{s}$ is

A swimmer can swim with velocity of 12 km/h in still water. Water flowing in a river has velocity 6 km/h. The direction with respect to the direction of flow of river water he should swim in order to reach the point on the other bank just opposite to his starting point is ----------°. (Round off to the Nearest Integer) (Find the angle in degrees)

A block of 200 g mass moves with a uniform speed in a horizontal circular groove, with vertical side walls of radius 20cm. If the block takes 40 s to complete one round, the normal force by the side walls of the groove is:

A mosquito is moving with a velocity v = 0.5t² i + 3t j + 9 k m/s and accelerating in uniform conditions. What will be the direction of mosquito after 2s?