Motion in a plane - Test 1Contact Number: 8527521718Motion in a plane - Test 1Contact Number: 8527521718A cricketer can throw a ball to a maximum horizontal distance of \(100~\text{m.}\) With the same
effort, he throws the ball vertically upwards. The maximum height attained by the ball is
1. \(100~\text{m}\)
2. \(80~\text{m}\)
3. \(60~\text{m}\)
4. \(50~\text{m}\)
A boy aims a gun at a bird from a point, at a horizontal distance of \(100~\text{m.}\) If the gun can impart a velocity of
\(500~\text{ms}^{-1}\) to the bullet. At what height above the bird must he aim his gun in order to hit it (take \(g=10~\text{ms}^{-2}\))
1. \(20~\text{cm}\)
2. \(10~\text{cm}\)
3. \(50~\text{cm}\)
4. \(100~\text{cm}\)
A wheel covers a distance of \(9.5~\text{km}\) in \(2000\) revolutions. The diameter of the wheel is
1. \(15~\text{m}\)
2. \(7.5~\text{m}\)
3. \(1.5~\text{m}\)
4. \(75~\text{m}\)
A helicopter is flying horizontally at an altitude of \(2~\text{km}\) with a speed of
\(100~\text{ms}^{-1}.\) A packet is dropped from it. The horizontal distance between the point where the packet is dropped and the point where it hits the ground is \((g=10~\text{ms}^{-2})\)
1. \(2~\text{km}\)
2. \(0.2~\text{km}\)
3. \(20~\text{km}\)
4. \(4~\text{km}\)
If time of flight of a projectile is \(10\) seconds. Range is \(500~\text{m.}\) The maximum height attained by it will be
1. \(125~\text m\)
2. \(50~\text{m}\)
3. \(100~\text m\)
4. \(150~\text m\)
The maximum horizontal range of a projectile is \(400~\text{m.}\) The maximum height attained by it will be-
1. \(100~\text{m}\)
2. \(200~\text m\)
3. \(400~\text m\)
4. \(800~\text m\)
A ball rolls off top of a staircase with a horizontal velocity u m/s. If the steps are h metre high and b mere wide, the ball will just hit the edge of nth step if n equals to
1. \(\dfrac{h u^2}{g b^2}\)
2. \(\dfrac{u^2 8}{g b^2}\)
3. \(\dfrac{2 h u^2}{g b^2}\)
4. \(\dfrac{2 u^2 g}{h b^2}\)
An aeroplane is flying at a constant horizontal velocity of \(600~\text{km/hr}\) at an elevation of \(6~\text{km}\) towards a point directly above the target on the earth’s surface. At an appropriate time, the pilot releases a ball so that it strikes the target at the earth. The ball will appear to be falling
1. On a parabolic path as seen by pilot in the plane
2. Vertically along a straight path as seen by an observer on the ground near the target
3. On a parabolic path as seen by an observer on the ground near the target
4. On a zig-zag path as seen by pilot in the plane
A man standing on the roof of a house of height h throws one particle vertically downwards and another particle horizontally with the same velocity \(u.\) The ratio of their velocities when they reach the earth’s surface will be
1. \(\sqrt{2 g h+u^2}: u\)
2. \(1: 2\)
3. \(1:1\)
4. \(\sqrt{2 g h+u^2}: \sqrt{2 g}\)
A particle moves along a circle with a uniform speed v. After it has made an angle of \(60^{\circ}\) its speed will be
1. \(v \sqrt{2}\)
2. \(\frac{v}{\sqrt{2}~~~v \sqrt{2}} \)
3. \(\frac{v}{\sqrt{3}}\)
4. \(v\)