Motion in a Plane

Q1.The position of a particle undergoing uniform circular motion of radius R with angular speed omega at time t is (starting from x-axis):

• AR cos(omega t) i + R sin(omega t) j
• BR sin(omega t) i + R cos(omega t) j
• CR omega cos(omega t) i + R omega sin(omega t) j
• DR cos(omega t) i - R sin(omega t) j

Q2.For the river crossing problem (v_boat = 5 km/h, v_river = 3 km/h), the actual speed of the boat across the river is:

• A5 km/h
• B4 km/h
• C3 km/h
• D2 km/h

Q3.The time period of a particle in uniform circular motion of radius r moving with speed v is:

• A2pi v/r
• B2pi r/v
• Cpi r/v
• D2r/v

Q4.The centripetal acceleration in uniform circular motion is directed:

• Atangentially to the circle
• Baway from the centre
• Ctowards the centre
• Dperpendicular to the plane of circle

Q5.A dot B = |A||B| when:

• AA and B are perpendicular
• BA and B are antiparallel
• CA and B are parallel
• DA and B are at 45 degrees