4. 2D Kinematics

Bob throws a ball from his second story window to his friend Steve who is on the ground below. Assume that Bob throws the ball horizontally at $10\mathrm{m}/\mathrm{s}$, and Steve will catch the ball at a point $4.5\mathrm{m}$ below Bob. How far from the base of the building should Steve stand in order to catch the ball?

Jim pushes a penny off a $0.86\mathrm{m}$ tall table. Assume the penny is moving horizontally as it leaves the table at 5 m/s. How long is the penny in the air? Ignore air resistance.

A baseball player hits a pop fly ball. If the ball leaves the bat at $45\mathrm{m}/\mathrm{s}$ at an angle of 68° above the horizontal, what is the maximum height, above the point of contact with the bat, that the ball will reach? Ignore air resistance.

A 4.0 x 10^10 kg asteroid is heading directly toward the center of the earth at a steady 20 km/s. To save the planet, astronauts strap a giant rocket to the asteroid perpendicular to its direction of travel. The rocket generates 5.0 x 10^9 N of thrust. The rocket is fired when the asteroid is 4.0 x 10^6 km away from earth. You can ignore the earth's gravitational force on the asteroid and their rotation about the sun.(b) The radius of the earth is 6400 km. By what minimum angle must the asteroid be deflected to just miss the earth?

A 4.0 x 10^10 kg asteroid is heading directly toward the center of the earth at a steady 20 km/s. To save the planet, astronauts strap a giant rocket to the asteroid perpendicular to its direction of travel. The rocket generates 5.0 x 10^9 N of thrust. The rocket is fired when the asteroid is 4.0 x 10^6 km away from earth. You can ignore the earth's gravitational force on the asteroid and their rotation about the sun. (a) If the mission fails, how many hours is it until the asteroid impacts the earth?