Exam 4: Kinematics in Two Dimensions

A rock is thrown at a window that is located 18.0 m above the ground.The rock is thrown at an angle of 40.0° above horizontal.The rock is thrown from a height of 2.00 m above the ground with a speed of 30.0 m/s and experiences no appreciable air resistance.If the rock strikes the window on its upward trajectory,from what horizontal distance from the window was it released?

Jan and Len throw identical rocks off a tall building at the same time.The ground near the building is flat.Jan throws her rock straight downward.Len throws his rock downward and outward such that the angle between the initial velocity of the rock and the horizon is 30°.Len throws the rock with a speed twice that of Jan's rock.If air resistance is negligible,which rock hits the ground first?

An object has a position given by = [2.0 m + (3.00 m/s)t] + [3.0 m - (2.00 m/s²)t²] ,where all quantities are in SI units.What is the magnitude of the acceleration of the object at time t = 2.00 s?

A wind farm generator uses a two-bladed propeller (see figure)mounted on a pylon at a height of 20 m.The length of each propeller blade is 12 m.A small piece from the tip of the propeller breaks off when the propeller is vertical.At that instant,the period of the motion of the propeller is 1.2 s.The fragment flies off horizontally,falls with negligible air resistance,and strikes the ground at P. (a)How far is point P from the base of the pylon? (b)At what angle with respect to the vertical is the fragment moving just as it strikes the ground at P?

Object A has a position as a function of time given by _A(t)= (3.00 m/s)t + (1.00 m/s²)t² .Object B has a position as a function of time given by _B(t)= (4.00 m/s)t + (-1.00 m/s²)t² .All quantities are SI units.What is the distance between object A and object B at time

A child throws a ball with an initial speed of 8.00 m/s at an angle of 40.0° above the horizontal.The ball leaves her hand 1.00 m above the ground and experience negligible air resistance. (a)How far from where the child is standing does the ball hit the ground? (b)How long is the ball in flight before it hits the ground?

An object has a position given by = [2.0 m + (5.00 m/s)t] + [3.0 m - (2.00 m/s²)t²] ,where quantities are in SI units.What is the speed of the object at time

You want to swim straight across a river that is wide.You find that you can do this if you swim at an angle of θ = 28° from the upstream direction at a constant rate of relative to the water.At what rate does the river flow? The angle θ is measured from the river bank (directly upstream is while directly across the river is

An electrical motor spins at a constant If the armature radius is what is the acceleration of the outer edge of the armature?

A hockey puck slides off the edge of a table at point A with an initial velocity of 20.0 m/s and experiences no air resistance.The height of the tabletop above the ground is 2.00 m. (a)What is the speed (not the velocity)of the puck just before it touches the ground? (b)What is the distance between point A and the point where the puck hits the ground?

A small boat is moving at a velocity of when it is accelerated by a river current perpendicular to the initial direction of motion.If the acceleration of the current is 0.750 m/s²,what will be the new velocity of the boat after

A rescue plane flying horizontally at spots a survivor in the ocean directly below and releases an emergency kit with a parachute..Because of the shape of the parachute,it experiences insignificant horizontal air resistance.If the kit descends with a constant vertical acceleration of how far away from the survivor will it hit the waves?

The horizontal coordinates of a in a strong wind are given by where x and y are in meters,and t is in seconds. (a)What is the acceleration of the Frisbee? Give a magnitude and a direction,measuring angles from the positive x direction. (b)What is the magnitude of the velocity at accurate to the nearest

What is the maximum distance we can shoot a dart,from ground level,provided our toy dart gun gives a maximum initial velocity of and air resistance is negligible?

A plane flies directly between two cities,A and B,which are separated by 2300 mi.From A to B,the plane flies into a 65 mi/h headwind.On the return trip from B to A,the wind velocity is unchanged.The trip from B to A takes less than the trip from A to B.What is the airspeed of the plane,assuming it is the same in both directions?

A plane flying at 70.0 m/s suddenly stalls.If the acceleration during the stall is 9.8 m/s² directly downward,the stall lasts 5.0 s,and the plane was originally climbing at 25° to the horizontal,what is the velocity after the stall?

A cart is moving with a constant horizontal velocity of 5.00 m/s.A small pebble is launched from the front of the cart with a velocity of 8.00 m/s at 60.0° above the horizontal as measured relative to the cart (see figure)and experiences no significant air resistance.Just as the pebble returns to the level from which it was launched,its distance from the front of the cart is closest to

A hockey puck slides off the edge of a table with an initial velocity of 28.0 m/s.and experiences no air resistance.The height of the tabletop above the ground is 2.00 m.What is the angle below the horizontal of the velocity of the puck just before it hits the ground?

A disk-shaped space station 175 m in diameter spins uniformly about an axis perpendicular to the plane of the disk through its center.How many rpm (rev/min)must this disk make so that the acceleration of all points on its rim is g/2?

A child throws a ball with an initial speed of 8.00 m/s at an angle of 40.0° above the horizontal.The ball leaves her hand 1.00 m above the ground and experience negligible air resistance. (a)What is the magnitude of the ball's velocity just before it hits the ground? (b)At what angle below the horizontal does the ball approach the ground?