Q1. A student undergoes a first displacement of 3.5 meters at an angle of 30^{o} north of east. The student undergoes a second displacement of 5.0 meters at an angle of 45^{o} south of east. The x component, (EAST – WEST) of the total displacement is….?
a) 6.57 meters EAST
b) 6.57 meters WEST
c) 1.79 meters EAST
d) 1.79 meters WEST
e) 6.80 meters EAST
Q2. The two forces are applied to an object. The first force is 2.5 N at an angle of 45^{o} NORTH of EAST. The second force is 5.0 N at an angle of 30^{o} WEST of NORTH. The magnitude of vector sum is....?
a) 9.77 N
b) 6.14 N
c) 4.33 N
d) 1.76 N
e) 0.73 N
Q3. A rocket is launched from origin with an acceleration of 20.0 m/s^{2} at an angle of 30 above the horizontal. The launch acceleration lasts for the 2.0 seconds at which time the fuel is exhausted. The rocket then drops with an acceleration of 9.8 m/s^{2} downward. Find out the maximum velocity in the upward direction?
a) 20 m/s
b) 25 m/s
c) 30 m/s
d) 35 m/s
e) 40 m/s
Q4. A projectile is projected from the origin (y_{o} = 0) with a velocity of 20.0 m/s at an angle of 30^{o} above the horizontal. The projectile lands on a roof which is 4.0 m height. Illustrate the time if the projectile hits the roof?
a) 1.11 s
b) 1.27 s
c) 1.33 s
d) 1.49 s
e) 1.67 s
Q5. The projectile is projected from the origin (y_{o} = 0) with a velocity of 20.0 m/s at an angle of 30^{o} above the horizontal. The projectile lands on a roof which is 4.0 m height. Illustrate the distance all along the horizontal axis if the projectile hits the roof?
a) 25.9 m
b) 22.3 m
c) 19.4 m
d) 17.5 m
e) 15.0 m