A 145 g baseball traveling directly to the left at a speed of 32 m/s reverses its direction of motion when it is hit by a baseball bat. What is the speed of the ball immediately after it is hit by the bat?

Henrietta is going off to her physics class, jogging down the sidewalk at a speed of 3.45 m/s. Her husband Bruce suddenly realizes that she left in such a hurry that she forgot her lunch of bagels, so he runs to the window of their apartment, which is a height 36.4 m above the street level and directly above the sidewalk, to throw them to her. Bruce throws them horizontally at a time 7.00 s after Henrietta has passed below the window, and she catches them on the run. You can ignore air resistance. With what initial speed must Bruce throw the bagels so Henrietta can catch them just before they hit the ground? Where is Henrietta when she catches the bagels?

Christopher watches a stick float downstream in a river and notices that it moves 15 m [El in a time of 2.5 x 10' s. His friend, John, is starting on the south side of the river and is going to swim across. In still water, John knows that he can swim with a speed of 1.2 m/s, relative to the water. a) What is John's velocity relative to the shore?   b) If the river is 1.5 km wide, how long will it take John to cross the river? c) How far downstream will be land?

An initially stationary iron ball is dopped from rest inside of a steel drum containing a liquid. Its acceleration is given by a = 6.1-1.5v cm/s2 Where v is the velocity in cm/s. At t=2s (2 seconds after it is released), what is the the iron ball's downward velocity in cm/s?

A hammer of mass m = 0.475 kg is moving horizontally at a velocity of v = 5.5 m/s when it strikes a nail and comes to rest after driving the nail a distance Δx = 1.15 cm into a board. 1. What is the duration of the impact, assuming the acceleration is constant during this time period, in terms of the given variables?  What is the duration of the impact, assuming the acceleration is constant during this time period, in terms of the given variables?

A boat moves north at a speed of 2.7 m/s across a river that flows west at a rate of 1.2 m/s. What is the boats speed relative to the riverbank?

Mike and Josh, two bicycles from towns d = 24 kilometers apart, set off in the same direction at the same time. Both Josh and Mike cycled at v, = 25 km/h. Instantly after they begin, a fly flies from Josh at the University of Michigan to Mike, and then immediately returns to Josh. Until the riders meet, the fly continues to fly back and forth between the cyclists. Air speed of fly is UF = 30 km/h, and wind velocity u = 10 km/h constantly blows toward Mike. s is the entire length of time that the fly has been airborne in meters. D (up-uy) 21Km GFLYI+Vmtavelled, both GFLYI+Vmtavelled

Dr. Liu is learning how to juggle. He tosses a tennis ball (probably bad choice since it is so bouncy) up at 2.5 m/s at a height 1.5 m above the floor and attempts to use the other hand to catch the falling ball. The ball hit the floor at his feet. How long was Dr. Liu's tennis ball in the air (between tossing and landing)? Ignore air drag. He should probably practice tossing his juggling ball at the same height and same speed before attempting to juggle. Hint: You can set the final position to be zero.

A firecracker moves vertically upward and after reaching the highest point in its vertical trajectory, it starts falling down. After it falls down by 17.7 meters in air it cracks into two identical pieces. One of the pieces shoots off horizontally with 11.8 m/s speed. What would be the magnitude of the velocity of the other piece right after they split? Enter your answer in m/s. On your paper, show both your calculation for the magnitude and also the direction of the velocity vector of the second piece. Show your work in detail including your physics- based reasoning.

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