Two projectiles are projected with the same velocity. If one is projected at an angle of 30° and the other at 60° to the horizontal, then the ratio of maximum heights reached is  
  • 3 : 1
  • 1 : 3
  • 1 : 2
  • 2 : 1
An aeroplane moving horizontally with a speed of 720 km/h drops a food packet while flying at a height of 396.9 m. The time taken by the food packet to reach the ground and its horizontal range are (Take $g = 9.8 m/s^2$)
  • 3 sec and 2000 m
  • 5 sec and 500 m
  • 8 sec and 1500 m
  • 9 sec and 1800 m
The angular velocity of the seconds-hand in a watch is
  • 0.053 rad/sec
  • 0.210 rad/sec
  • 0.105 rad/sec
  • 0.42 rad/sec
A particle A is dropped from a height and another particle B is projected in horizontal direction with speed of 5 m/s from the same height, then correct statements is
  • particle A will reach at ground first with respect to particle B.
  • particle B will reach at ground first with respect to particle A.
  • both particles will reach at ground simultaneously.
  • both particles will reach at ground with same speed.
A stone tied to the end of a string of 1 m long is whirled in a horizontal circle at a constant speed. If the stone makes 22 revolutions in 44 seconds, what is the magnitude and direction of acceleration of the stone?
  • $\pi^2 m/s^2$ , and direction along the radius towards the center.
  • $\pi^2 m/s^2$ , and direction along the radius away from the centre.
  • $\pi^2 m/s^2$ , and direction along the tangent to the circle.
  • $\frac{\pi^2}{4} m/s^2$ , and direction along the radius towards the center.
The width of a river is 1 km. The velocity of a boat is 5 km/h. The boat covered the width of the river in the shortest time of 15 minutes. Then the velocity of the river stream is
  • 3 km/h
  • 4 km/h
  • $\sqrt{29} km/h$
  • $\sqrt{41} km/h$
What determines the nature of the path followed by the particle?
  • Speed
  • Velocity
  • Acceleration
  • Both Velocity and Acceleration
Which of the following is constant in a projectile motion?
  • Velocity of projection
  • The horizontal component of the velocity
  • The vertical component of the velocity
  • All of these
In a two dimensional motion, instantaneous speed $v_0$ is a positive constant. Then which of the following are necessarily true?
  • The average velocity is not zero at any time.
  • Average acceleration must always vanish.
  • Displacements in equal time intervals are equal.
  • Equal path lengths are traversed in equal intervals.
In the following question, a statement of assertion is followed by a statement of reason. While answering a question, you are required to choose the correct one out of the given responses Assertion: When a body is projected at an angle 45 °, its range is maximum. Reason: For the maximum range, the value of sin 20 ° should be equal to one.
  • If both assertion and reason are true and reason is the correct explanation of the assertion.
  • If both assertion and reason are true, but reason is not correct explanation of the assertion.
  • If assertion is true, but reason is false.
  • If both assertion and reason are false.
In the following question, a statement of assertion is followed by a statement of reason. While answering a question, you are required to choose the correct one out of the given responses Assertion : Two balls of different masses are thrown vertically upwards with the same speed. They will pass through their point of projection in the downward direction with the same speed. Reason : The maximum height and downward velocity attained at the point of projection are independent of the mass of the ball.
  • If both assertion and reason are true and reason is the correct explanation of the assertion.
  • If both assertion and reason are true, but reason is not correct explanation of the assertion.
  • If assertion is true, but reason is false.
  • If both assertion and reason are false.
In the following question, a statement of assertion is followed by a statement of reason. While answering a question, you are required to choose the correct one out of the given responses Assertion: Displacement of a body may be zero when the distance traveled by h it is not zero. Reason: The displacement is the longer distance between initial and final position
  • If both assertion and reason are true and reason is the correct explanation of the assertion.
  • If both assertion and reason are true, but reason is not correct explanation of the assertion.
  • If assertion is true, but reason is false.
  • If both assertion and reason are false.
In the following question, a statement of assertion is followed by a statement of reason. While answering a question, you are required to choose the correct one out of the given responses Assertion: In javelin throw, the athlete throws the projectile at an angle slightly more than $45^0$. Reason: The maximum range does not depend upon the angle of projection.
  • If both assertion and reason are true and reason is the correct explanation of the assertion.
  • If both assertion and reason are true, but reason is not correct explanation of the assertion.
  • If assertion is true, but reason is false.
  • If both assertion and reason are false.
A bus is moving on a straight road towards north with a uniform speed of 50 Km/hr, then it turns left through $90^0$. If the speed remains unchanged after turning, the increase in velocity of bus in the turning process is,
  • 70.7 Km/hr along south west direction.
  • Zero
  • 50 km/hr along west
  • 70.7 Km/hr along north west direction.
Link type comprehension A  ball is thrown at an angle θ and another is thrown at an angle 90 -θ with the horizontal direction from the same point with velocity 39.2 m/s. The second ball reaches 50m higher than the first ball Find the height reached by first ball
  • 13.2 m
  • 14.2 m
  • 64.2 m
  • 11 m
Find the height reached by second ball
  • 14.2 m
  • 34.2 m
  • 64.2 m
  • 11 m
A boat is moving with the velocity 4 i + 6 j  with respect to ground . The water in the river is moving with the velocity is -3i - 4 j m/s with respect to ground. The relative velocity of boat with respect to water is
  • 6 i + 8j
  • 7 i + 10j
  • 6 i - 8j
  • 7 i - 10j
A body revolving in a circle with uniform speed possesses
  • uniform acceleration
  • no acceleration
  • tangential acceleration
  • normal acceleration.
The horizontal range of a projectile is 400 m. The maximum height attained by it will be
  • 400 m
  • 100 m
  • 200 m
  • 300 m
A boat is sent across a river with a velocity of 8 km/h. If the resultant velocity of the boat is 10 km/h,the river is flowing with a velocity of
  • 6 km/hr
  • 8 km/hr
  • 10 km/hr
  • 12.8 km/hr
0 h : 0 m : 1 s

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