A particle projected from ground moves at angle $45^{\circ}$ with horizontal one second after projection and speed is minimum two seconds after the projection. The angle of projection of particle is [Neglect the effect of air resistance]

  • A

    $\tan ^{-1}(3)$

  • B

    $\tan ^{-1}(2)$

  • C

    $\tan ^{-1}(\sqrt{2})$

  • D

    $\tan ^{-1}(4)$

Similar Questions

If $R$ and $H$ represent the horizontal range and the maximum height achieved by a projectile then which of the relation exists?

  • [AIIMS 2009]

If a stone is to hit at a point which is at a distance $d$ away and at a height $h$ above the point from where the stone starts, then what is the value of initial speed $u$ if the stone is launched at an angle $\theta $ ?

A missile is fired for maximum range at your town from a place $100\, km$ away from you. If the missile is first detected at its half way point, how much warning time will you have ? (Take $g = 10\, m/s^2$)

A projectile is projected with velocity of $25\, m / s$ at an angle $\theta$ with the horizontal. After t seconds its inclination with horizontal becomes zero. If $R$ represents horizontal range of the projectile, the value of $\theta$ will be : [use $g =10 m / s ^{2}$ ]

  • [JEE MAIN 2022]

An insect trapped in a circular groove of radius $12 \;cm$ moves along the groove steadily and completes $7$ revolutions in $100\; s$.

$(a)$ What is the angular speed, and the linear speed of the motion?

$(b)$ Is the acceleration vector a constant vector ? What is its magnitude ?