Q.1
An airplane’s compass indicates that it is headed due north, and its airspeed indicator shows that it is moving through the air at 240 km/hr If there is a 100-km/h wind from west to east, what is the velocity of the airplane relative to the earth?
  • 260 km/h 23° W of N
  • 250 km/h 23° E of N
  • 260 km/h 20° E of N
  • 260 km/h 23° E of N
Q.2
At the uppermost point of a projectile, its velocity and acceleration are at an angle of
  • 45°
  • 60°
  • 0°
  • 90°
Q.3
A package is dropped out of airplane in a level flight. If air resistance could be neglected. Which of these is true? (more than one correct)
  • Package will follow a parabolic path with respect to an observer on the ground
  • Package will follow a vertically straight-line path with respect to the observer in the plane.correct
  • Package will follow a vertically straight-line path with respect to an observer on the ground
  • Package will follow a parabolic path with respect to the observer in the plane.
Q.4
A particle is projected upwards. The times corresponding to height h while ascending and while descending are a and b respectively. Find the velocity of projection
  • g(a+b)/4
  • g(a+b)
  • g(a+b)/2
  • g(a+b)/8
Q.5
Two equal vectors have a resultant equal to either. The angle between them is
  • 60°
  • 90°
  • 120°
  • 100°
Q.6
(a) If both assertion and reason are true and reason is the correct explanation of the assertion. (b) If both assertion and reason are true, but reason is not correct explanation of the assertion. (c) If assertion is true, but reason is false. (d) If both assertion and reason are false. (e) If reason is true but assertion is false. Assertion: Generally the path of a projectile from the earth is parabolic but it is elliptical for projectiles going to a very great height. Reason: Up to ordinary height the projectile moves under a uniform gravitational force, but for great heights, projectile moves under a variable force.
  • (a)
  • (b)
  • (c)
  • (d)
  • (e)
Q.7
A horizontal escalator in an airport terminal building moves at 1m/s and is 50.0 m long. If a woman steps on at one end and walks at 1.5 m/s relative to the moving sidewalk, how much time does she require to reach the opposite end if she walks in the same direction the sidewalk is moving
  • 10 sec
  • 20 sec
  • 25 sec
  • 15 sec
Q.8
A small mass m is suspended from one end of a vertical string. and then whirled in a horizontal circle at a constant speed v. Which of the followings is true?
  • The strings stays vertical
  • The string becomes inclined to the vertical.
  • There is no force on mass m except its weight
  • The angle of inclination of the string does not depend on the v
  • The centripetal force on m is mg
Q.9
A particle A is dropped from a height and another particle B is projected in horizontal direction with speed of 10 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.
Q.10
A particle is projected from the ground with an initial speed of v at angle $\theta$ with horizontal. The average velocity of the particle between its point of projection and height point of trajectory is
  • $\frac {v}{2} \sqrt {1 + 3 cos^2 \theta}$
  • $\frac {v}{2} \sqrt {1 + cos^2 \theta}$
  • $\frac {v}{2} \sqrt {1 + 2 cos^2 \theta}$
  • $\frac {v}{2} \sqrt {1 + 4 cos^2 \theta}$
Q.11
Two projectiles of same mass and with same velocity are thrown at an angle 60 ° and 30 ° with the horizontal, then which will remain same
  • time of flight.
  • range of projectile
  • maximum height acquired.
  • all of them.
Q.12
Which two quantities are constant throughout projectile motion when air resistance is negligible?
  • The speed and acceleration.
  • The vertical component of velocity and acceleration.
  • The horizontal component of velocity and acceleration.
  • The magnitude of the acceleration and the speed.
  • The direction of the velocity and acceleration
Q.13
A particle revolves round a circular path. The acceleration of the particle is inversely proportional to
  • mass of particle
  • radius
  • velocity
  • Both Mass and Radius
Q.14
A projectile can have the same range R for two angles of projection. If $t_1$​ and $t_2$​ be the times of flights in the two cases, then the product of the two time of flights is proportional to
  • 1/R
  • 1/R2
  • R
  • R2
Q.15
An object moves such that its position varies as per $\hat{r}= [(4 m) + (2m/s^2) t^2] \hat{i} + (5 m/s)t \hat{j}$ Find the magnitude and direction of  average velocity between t=0 and t=2 sec
  • 7.1 m/s , 60°
  • 5 m/s , 60°
  • 6.1 m/s , 45°
  • 7.1 m/s , 45°
Q.16
The angle for which maximum height and horizontal range are same for a projectile is
  • 32°
  • 48°
  • 76°
  • 84°
Q.17
It is found that |A + B| = |A|. This necessarily implies
  • B = 0
  • A, B are antiparallel
  • A, B are perpendicular
  • $A,B \leq 0$
Q.18
Which of the following statements is false for a particle moving in a circle a constant angular speed?
  • The acceleration vector is tangent to the circle
  • The acceleration vector is normal to the circle
  • The acceleration vector points to the center of circle
  • Velocity and acceleration vector are perpendicular
0 h : 0 m : 1 s