A particle reaches its highest point when it has covered exactly one half of its horizontal range. The corresponding point on the displacement time graph is characterised by
Negative slope and zero curvature
Zero slope and positive curvature
Zero slope and negative curvature
Positive slope and zero curvature
A body of mass $M$ thrown horizontally with velocity $v$ from the top of the tower of height $\mathrm{H}$ touches the ground at a distance of $100 \mathrm{~m}$ from the foot of the tower. A body of mass $2 \mathrm{M}$ thrown at a velocity $\frac{v}{2}$ from the top of the tower of height $4 \mathrm{H}$ will touch the ground at a distance of. . . . ..
An aeroplane moving horizontally with a speed of $720 \,km/h$ drops a food pocket, while flying at a height of $396.9\, m$. the time taken by a food pocket to reach the ground and its horizontal range is (Take $g = 9.8 m/sec^{2}$)
A train is moving along a straight line with a constant acceleration ' $a$ '. A boy standing in the train throws a ball forward with a speed of $10 \ m / s$, at an angle of $60^{\circ}$ to the horizontal. The boy has to move forward by $1.15 \ m$ inside the train to catch the ball back at the initial height. The acceleration of the train, in $m / s ^2$, is
An aeroplane flying at a constant velocity releases a bomb.As the bomb drops down from the aeroplane,
An aeroplane is moving with a velocity $u$. It drops a packet from a height $h$. The time $t$ taken by the packet in reaching the ground will be