While on vacation, Paul is staying in a hotel room with a balcony 18.0 m above the ground that is overlooking the ocean. He is curious as to how far he could throw a
rock before it hits the water. Recognizing that it would be unsafe to actually throw
the rock, he decides to work out the answer mathematically. He knows that he can
throw the rock horizontally at a speed of 30.0 m/s. How far from the hotel will the
rock be when it hits the water?

The position of a dragonfly that is flying parallel to the ground is given as a function of time by r⃗ =[2.90m+(0.0900m/s2)t2]i^− (0.0150m/s3)t3j^. a: at what value of t does the velocity vector of the insect make an angle of 34.0 degree clockwise from the x-axis? b: at the time calculated in part (a), what is the magnitude of the acceleration vector of the insect? c : at the time calculated in part (a), what is the direction of the acceleration vector of the insect?

Amarble, a bowling ball, a basketball, and a baseball are rolling across the floor at 10 m/s. which one has the greatest kinetic energy? the marble the bowling ball the basketball the baseball

Look at the potential energy diagram for a chemical reaction. which statement correctly describes the energy changes that occur in the forward reaction?