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The speed verses time graph for a particle is shown in the figure. The distance travelled (in m) by the particle during the time interval t=0 to t=5 s will be __________.

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Important Questions on Kinematics

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JEE Main
IMPORTANT

A balloon is moving up in air vertically above a point A on the ground. When it is a height h1, a girl standing at a distance d (point B) from A (see figure) sees it at an angle 45° with respect to the vertical. When the balloon climbs up a further height h2, it is seen at an angle 60° with respect to the vertical if the girl moves further by a distance 2.464 d (point C). Then the height h2 is (given tan30°=0.5774):

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A helicopter rises from rest on the ground vertically upwards with a constant acceleration g. A food packet is dropped from the helicopter when it is at a height h. The time taken by the packet to reach the ground is close to [g is the acceleration due to gravity]:
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The velocity (v) and time (t) graph of a body in a straight line motion is shown in the figure. The point S is at 4.333 seconds. The total distance covered by the body in 6 s is :

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A clock has a continuously moving second's hand of 0.1 m length. The average acceleration of the tip of the hand (in units of m s-2) is of the order of :

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JEE Main
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When a car is at rest, its driver sees rain drops falling on it vertically. When driving the car with speed v, he sees that rain drops coming at an angle 60 from the horizontal. On further increasing the speed of the car to 1+βv, this angle changes to 45. The value of β is close to :
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The sum of two forces P and Q is R such that R=P. The angle θ (in degree) that the resultant of 2P and Q will make with Q is, ________
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JEE Main
IMPORTANT
A particle moves such that its position vector rt=cosωt i^+sinωt j^, where ω is a constant and t is time. Then which of the following statements is true for the velocity vt and acceleration at of the particle:
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JEE Main
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A ball is dropped from the top of a 100 m high tower on a planet. In the last 12s before hitting the ground, it covers a distance of 19 m. Acceleration due to gravity (in m s-2 ) near the surface on that planet is______