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Neglect air resistance in this problem. A cannon simultaneously fires two identical cannonballs at targets 1 and 2 as shown below. If the cannonballs have identical initial speeds, which of the following statements is true? Assume the point of projection and targets to be at the same horizontal level.

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Important Questions on Projectile Motion

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From an elevated point A, stone is projected vertically upwards. When the stone reaches a distance h below A its velocity is double what it was at a height h above A. The greatest height attained by the stone above A is
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A particle-1 is projected with speed v1 from a point A making an angle of 30° with the vertical. At the same instant, a second particle- 2 is thrown vertically upwards from point B. Both the particles reach height H, simultaneously. The ratio of v1v2 is :

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Two persons X and Y are playing with two different balls of masses m and 2m. If X throws his ball vertically up and Y at an angle θ with vertical, both of them stay in the air for the same time. The maximum heights attained by the two are in the ratio:
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A gun is pointed towards a 100 m high target as shown in the figure. Target is released at the same time when the gun is shot. To hit the target in the air, muzzle speed should not less than g=9.8 m s-2

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A fruit is falling with zero initial velocity from a 50 m high tree. A man, who is at 50 m horizontal distance from the tree fires a bullet with a speed of 102 m s-1, at an angle 45° with horizontal. After how much time will the bullet hit the fruit?

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A helicopter is flying at an altitude of 200 m with 25 m s-1 at  an angle of 37° above horizontal when a package is dropped from it. After how much time (in sec) package hits the ground?  g=10 m s-2
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A boy standing on the foothpath tosses a ball straight up and catches it. The driver of a car passing by moving with uniform velocity sees this.

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The trajectory of the ball as seen by the driver will be

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According to the quantum theory, a photon of electromagnetic radiation of frequency v has energy E=hv where h is known as Planck's constant. According to the theory of relativity, a particle of mass m has equivalent energy E=mc2, where c is speed of light. Thus, a photon can be treated as a particle having effective mass m=hvc2. If a flash of light is sent horizontally in earth's gravitational field, then photons while travelling a horizontal distance d would fall through a distance given by -