Practice Book for KVPY Aptitude Test - Stream SA Physics>Chapter 2 - Projectile Motion>Exercise 1>Q 18

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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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Important Questions on Projectile Motion

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Practice Book for KVPY Aptitude Test - Stream SA Physics>Chapter 2 - Projectile Motion>Exercise 1>Q 19

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 $10 \sqrt{2} m s^{- 1}$ , at an angle $45 °$ with horizontal. After how much time will the bullet hit the fruit?

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Practice Book for KVPY Aptitude Test - Stream SA Physics>Chapter 2 - Projectile Motion>Exercise 1>Q 20

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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Practice Book for KVPY Aptitude Test - Stream SA Physics>Chapter 2 - Projectile Motion>Exercise 2>Q 1

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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Practice Book for KVPY Aptitude Test - Stream SA Physics>Chapter 2 - Projectile Motion>Exercise 2>Q 2

According to the quantum theory, a photon of electromagnetic radiation of frequency

v

has energy

E = h v

where

h

is known as Planck's constant. According to the theory of relativity, a particle of mass

m

has equivalent energy

E = m c^{2}

, where

c

is speed of light. Thus, a photon can be treated as a particle having effective mass

m = \frac{h v}{c^{2}}

. 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 -

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Practice Book for KVPY Aptitude Test - Stream SA Physics>Chapter 2 - Projectile Motion>Exercise 2>Q 3

A firecracker is thrown with velocity of

30 m s^{- 1}

in a direction which makes an angle of

75 °

with the vertical axis. At some point on its trajectory, the firecracker split into two identical pieces in such a way that one piece falls

27 m

far from the shooting point. Assuming that all trajectories are contained in the same plane, how far will the other piece fall from the shooting point ? (Take