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A man standing on a road has to hold his umbrella at 30° with the vertical to keep the rain away. He throws the umbrella and starts running at `10 kmh ^(-1)`.He finds that raindrops are hitting his head vertically. The actual speed of raindrops
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A girl can swim with speed `5 kmh ^(-1)` in still water. She crosses a river `2 km` wide, where the river flows steadily at `2 kmh^(-1)` and she makes strokes normal to the river current. Find how far down the river she go when she reaches the other
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When a ball is thrown obliquely from the ground level, then the `x`-component of the
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The motion of an object that is in flight after being projected is a result of two simultaneously occurring components of motion, which are the components
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At the top of the trajectory of a projectile, the directions of its velocity and acceleration
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A projectile is given an initial velocity of `(hati + 2hatj) ms^(-1)`, where `hati` is along the ground and `hatj` is along vertical. If `g` is `10 ms^(-2)`, then the equation of its trajectory
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The equations of motion of a projectile are given by `x= 18t and 2y = 54t - 9.8t^2`. The angle `theta` of projection
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A football player throws a ball with a velocity of `50 ms^(-1)` at an angle 30° from the horizontal. The ball remains in the air for (Take.`g = 10
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The ceiling of a hall is `30 m` high. A ball is thrown with `60 ms^(-1)` at an angle `theta`, so that it could reach the ceiling of the hall and come back to the ground. The angle of projection `theta` that the ball was projected is given
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Two projectiles A and B are projected with same speed at angles 30° and 60° to be horizontal then, which amongst the following relation between their range, maximum height and time of flight is
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A man can throw a stone to a maximum distance of 80 m. The maximum height to which it will rise,
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Two stones were projected simultaneously in the same vertical plane from same point obliquely, with different speeds and angles with the horizontal. The trajectory of path followed by one, as seen by the other,
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Given below figure show three paths of a rock with different initial velocities. The correct increasing order for the respective initial horizontal velocity component (ignoring the effect of air resistance)
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What is the centripetal acceleration of a point mass which is moving on a circular path of radius 5m with speed `25
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The displacement of a particle moving on a circular path, when it makes 60° at the centre
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If a car is executing a uniform circular motion, then its centripetal acceleration
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A car revolves uniformly in a circle of diameter 0.80m and completes 100 rev min'1. Its angular velocity
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If 2 balls are projected at angles 45° and 60° and the maximum heights reached are same, then the ratio of their initial velocities i s
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Two projectiles having different masses `m_1 and m_2` , are projected at an angle `alpha and (90° - alpha)` with the same speed from some point. The ratio of their maximum heights is
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A projectile fired with initial velocity `u` at some angle `theta` has a range `R`. If the initial velocity be doubled at the same angle of projection, then the range will be
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