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A student drops his textbook out of a window in a tall building. If it took 1.51 seconds for the book to hit the ground, how high above the ground is the window? What is the book' maximum speed during flight? At what time does this occur?
What is the average speed, on #t in [0,5]#, of an object that is moving at #8 m/s# at #t=0# and accelerates at a rate of #a(t) =5t^2-3t# on #t in [0,4]#?
Consider the 65.0 kg ice skater being pushed by two others shown in the figure?
A projectile is shot from the ground at a velocity of #12 m/s# at an angle of #pi/6#. How long will it take for the projectile to land?
An object has a mass of #4 kg#. The object's kinetic energy uniformly changes from #24 KJ# to # 42KJ# over #t in [0, 9 s]#. What is the average speed of the object?
How do you calculate the acceleration of a rocket?
What is the final velocity of a body that accelerates at #"150 m/s"^2"# for #"2 s"# from a velocity of #"75 m/s"#?
The current of a river is 2 miles per hour. A boat travels to a point 8 miles upstream and back again in 3 hours. What is the speed of the boat in still water?
A car, which is accelerating uniformly from rest, travels a distance of 28.5 m in the tenth second of its motion. What is its acceleration?
An object is at rest at #(8 ,5 ,4 )# and constantly accelerates at a rate of #1/4 m/s^2# as it moves to point B. If point B is at #(2 ,4 ,5 )#, how long will it take for the object to reach point B? Assume that all coordinates are in meters.
A projectile is shot from the ground at a velocity of #25 m/s# and at an angle of #(2pi)/3#. How long will it take for the projectile to land?
A model rocket is fired vertically upward from rest. Its acceleration for the first 3 seconds is a(t) = 60t at which time the fuel is exhausted and it becomes a freely "falling" body. 14 seconds later, the rocket's parachute opens, and the (down)?
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