Motion in Two Dimensions

• Very Important Multiple Choice Questions (MCQs) with Answers of the Chapter No.4: Motion in Two Dimensions in Physics Class 11 Sindh Book Boards.
• Definition of Projectile
• Definition of Projectile Motion
• Assumption of Projectile Motion
• Describe a horizontal velocity and vertical velocity
• Definition of trajectory with (a) Horizontal displacement X (b) vertical displacement Y
• Definition of circular motion or angular motion
• Definition of angular displacement
• Definition of degree and radian
• Relation between Radian and degree
• Relation between linear and angular displacement
• Definition of angular velocity
• Definition of unit of angular velocity
• Definition of direction of angular velocity
• Relation between linear and angular velocities.
• Definition of angular acceleration with its formula
• Unit of angular acceleration and direction of angular acceleration
• Relation between linear and angular acceleration
• Definition of centripetal acceleration with its formula and derivation
• Definition of centripetal force with its mathematical expression
• A rescue helicopter drops a package of emergency ration to a stranded party on the ground. If the helicopter is traveling horizontally at 40 m/s at a height of 100 m above the ground, (a) where does the package strike the ground relative to the point at which it was released? (b) What are the horizontal and vertical component of the velocity of the package just before it hits the ground?
• A long-jumper leaves the ground at an angle of 20o to the horizontal and at a speed of 11m/s (a) How far does he jump? What is the maximum height reached? Assume the motion of the long jumper is that of projectile. 
• A stone is thrown upward from the top of a building at an angle of 30 o to the horizontal and with a initial speed of 20 m/s. If the height of building is 45 m. (a) Calculate the total time the stone in flight (b) What is the speed of stone just before it strikes the ground? (c) Where does the stone strike the ground?
• A ball is thrown in horizontal direction from a height of 10 m with a velocity of 21 m/s (a) How far will it hit the ground from its initial position on the ground? and with what velocity?
• A rocket is launched at an angle of 53o to the horizontal with an initial speed of 100 m/s. It moves along its initial line of motion with an acceleration of 30 m/s2 for 3s. At this time the engine falls and the rocket proceeds to move as a free body. Find (a) the maximum altitude reached by the rocket (b) its total time of flight, and (c) its horizontal range.
• A diver leaps from a tower with an initial horizontal velocity component of 7 m/s and upward velocity component of 3 m/s. find the component of her position and velocity after 1 second.
• A boy standing 10m from a building can just barely reach the roof 12m above him when he throws a ball at the optimum angle with respect to the ground. Find the initial velocity component of the ball. 
• A marter shell is fired at a ground level target 500m distance with an initial velocity of 90 m/s. What is its launch angle?
• What is the take off speed of a locust if its launch angle is 55o and its range is 0.8m? 
• A car is traveling on a flat circular track of radius 200m at 20 m/s and has a centripetal acceleration a c = 4.5 m/s2 (a) If the mass of the car is 1000 kg, what frictional force is required to provide the acceleration? (b) if the coefficient of static frictions μs is 0.8, what is the maximum speed at which the car can circle the track?
• The turntable of a record player rotates initially at a rate of 33 rev/min and takes 20s to come to rest (a) What is the angular acceleration of the turntable, assuming the acceleration is constant? (b) How many rotation does the turntable make before coming to rest? (c) If the radius of the turntable is 0.14m, what is the initial linear speed of a bug riding on the rim?(d) What is the magnitude of the tangential acceleration of the bug at time t = 0?
• Tarzan swings on a vine of length 4m in a vertical circle under the influence of gravity. When the vine makes an angle of θ = 20o with the vertical, Tarzan has a speed of 5 m/s. Find (a) his centripetal acceleration at this instant, (b) his tangential acceleration, and (c) the resultant acceleration.
• What is the ratio of maximum range and maximum height of a projectile for an angle at which range is maximum.
• Calculate the angle of projection for which the maximum height of projectile is equal to 1/3 of its horizontal range.
• Tarzan swings on a vine, of length 5m, in a vertical circle, under the influence of gravity. When the vine makes an angle of 30° with the Vertical, Tarzan has a speed of 4 m/s. Find: (a) Centripetal acceleration at this instant (b) His tangential acceleration
• A boy whose mass is 100 kg when resting on the ground at the equator if the radius of earth 'Re' is 6.4 x 106 m. Calculate the centripetal acceleration and centripetal force.
• A mortar shell is field at a ground level target of 400 m distance with an initial velocity 85m/sec. Calculate the maximum time to hit the target. 
• Calculate the centripetal acceleration and centripetal force on a man whose mass is 80 kg when resting on the ground at the equator if the radius of earth is 6.4 x 106 metres.
• A diver leaps from a tower with an initial horizontal velocity component of 7m/sec and upward velocity component of 5m/sec. Find the components of his velocity along x and y axis after 1.5 sec.