AP EAPCET Medical 2019 (24-Apr Shift-1)

At$t=0 \mathrm{s},$  an object at origin has a velocity $\overrightarrow{v}=(2\hat{i}+4\hat{j}) \mathrm{m} {\mathrm{s}}^{-1}.$. If it is acted upon by an acceleration $a=(\hat{i}-3\hat{j}) \mathrm{m} {\mathrm{s}}^{-2}$ for a duration of $6$ seconds, find its coordinates at the end of $t=6$ seconds.

When a particle moves with variable velocity, which of the following statement are NOT correct ?
(i) Average speed = average velocity
(ii) Instantaneous speed = instantaneous velocity
(iii) Distance covered = magnitude of displacement

For a body projected vertically upwards with a velocity $v_0$ from the ground. match the following?

A stone is just released from the window of a train moving along a horizontal straight track. The stone will hit the ground following a ________

A particle starts from origin at $t=0$ with a velocity of $15 \hat{\mathrm{i}} \mathrm{m}·{\mathrm{s}}^{-1}$ and moved in $xy$-plane with an acceleration of $15\hat{\mathrm{i}}+20\hat{\mathrm{j}} \mathrm{m}·{\mathrm{s}}^{-2}.$ The $y$-coordinate of the particle when it has $180 \mathrm{m}$ as its $x$-coordinate is

The displacement of a particle moving along $x$-axis is given by $x=8t^2+18t.$ The average acceleration during the interval $t_1=2s$ and $t_2=4s$ is

The velocity-time graph of an object is as shown. The displacement during the interval 0 to $t_4$ is

Two projectiles $A$ and $B$ are thrown from the same point with velocities $2v$ and $v$ respectively. If $B$ was thrown at an angle $45°$ with the horizontal, find the angle with which $A$ was projected, if it is known that both $A$ and $B$ have equal ranges ?