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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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Two cars of masses `m_1 and m_2` are moving in circles of radii `r_1 and r_2`, respectively. Their speeds are such that they make complete circles in the same time `t`. The ratio of their centripetal accelerations is
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For two vectors A and B which lie in a plane. Which of the following statement is
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Match the Column I (example of motion) with Column II (type of motion) and select the correct answer from the codes given below. Column I Column II A. Free fall p. One-dimensional motion B. Projectile motion q. Two-dimensional motion C. Circular motion r. Three-dimensional motion D. Motion along a straight road
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A vector is given by `A=4hati + 3hatj + 5hatk`, where `alpha, beta and gamma` are the angles made by A with coordinate axes. Then, match the Column I with Column II (respective values) and select the correct option from the codes given below. Column I Column II A. `alpha` p. `cos^(-1) (1'/'sqrt2)` B. `beta` q. `cos^(-1) (4'/'5sqrt2)` C. `gamma` r. `cos^(-1) (3'/'5sqrt2)`
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Assertion: Magnitude of resultant of two vectors may be less than the magnitude of either vector. Reason: Vector addition is
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Assertion: Vector addition of two vectors is always greater than their vector subtraction. Reason: At `theta= 90°`, addition and subtraction of vectors are
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Assertion: In case of projectile motion, the magnitude of rate of change of velocity is variable. Reason: In projectile motion, magnitude of velocity first increases and then decreases during the
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Assertion: At highest point of a projectile, dot product of velocity and acceleration is zero. Reason: At highest point, velocity and acceleration are mutually
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Assertion: A particle is projected with speed `u` at an angle `theta` with the horizontal. At any time during motion, speed of particle is `v` at angle `alpha` with the vertical, then `v sin alpha` is always constant throughout the motion. Reason: In case of projectile motion, magnitude of radial acceleration at topmost point is
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Assertion: For projection angle `tan^(-1) (4)`, the horizontal and maximum height of a projectile are equal. Reason: The maximum range of projectile is directly proportional to square of velocity and inversely proportional to acceleration due to
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Assertion: The range of a projectile is maximum at 45°. Reason: At `theta = 45°`, the value of `sin theta` is
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