Upward Initial Velocity

1). A cavity is dropped from succor from the top of a tall building, as Figure2. 17indicates. subsequently 3. 00 s of free-fall, what is thedisplacementyof the stone? The stone, starting with nonentity hurrying at the top of the building, is accelerated downward by gravitation. ReasoningThe upward(a) direction is chosen as the positive direction. The signvelocityv0of the stone is zero, because the stone is dropped from rest. Theaccelerationdue to gravity is veto, since it dooms downward in the negative direction. beginning 2). After 3. 00 s of free-fall, what is thevelocityvof the stone? Solution 1).A football game customarily begins with a coin toss to finalise who kicks off. The referee tosses the coin up with an initialspeedof 5. 00 m/s. In the absence of air resistance, how high does the coin go above its point of release? ReasoningThe coin is given an upward initial velocity. moreover theaccelerationdue to gravity points downward. Since thevelocityand acceleratio n point in opposite directions, the coin slows down as it moves upward. Eventually, the velocity of the coin becomesv=0 m/s at the highest point. At the start of a football game, a referee tosses a coin upward with an initial velocity ofv0=+5. 0 m/s. The velocity of the coin is momentarily zero when the coin reaches its maximum height. Solution 2). What is the total cartridge clip the coin is in the air before returning to its release point? ReasoningDuring the time the coin belongs upward, gravity causes itsspeedto decrease to zero. On the way down, however, gravity causes the coin to regain the lost speed. Thus, the time for the coin to go up is equal to the time for it to come down. In other words, the total travel time is twice the time for the upward motion. With these data, we can use equation (v=v0+at) to find the upward travel time. Solution