Final answer:
A. It takes 5.1 seconds for the puppet to reach the ground. B. After 3.6 seconds, the puppet will be approximately 29.1 meters above the floor. C. The puppet takes approximately 2.55 seconds to stop slowing down.
Step-by-step explanation:
A. To determine how long it takes for the puppet to reach the ground, we need to calculate the time it takes for the puppet to reach its highest point and then come back down. Since the puppet is thrown straight up, its initial vertical velocity is 25 m/s and it experiences a constant downward acceleration due to gravity of -9.8 m/s2. The time it takes for the puppet to reach its highest point is determined by dividing the initial vertical velocity by the acceleration due to gravity: t = V/|g|. In this case, it would take 2.55 seconds for the puppet to reach its highest point. The total time for the puppet to come back down can be calculated by doubling the time it takes to reach the highest point: ttotal = 2 * t. Hence, it would take 5.1 seconds for the puppet to reach the ground.
B. To determine where the puppet will be after 3.6 seconds from Marty's initial throw upwards, we can use the equation y = y0 + V0t + 0.5at2, where y is the vertical position, y0 is the initial vertical position, V0 is the initial vertical velocity, t is the time, and a is the acceleration. Since the puppet is thrown straight up and we are only interested in the vertical position, the initial vertical position would be 1 meter above the floor and the initial vertical velocity would be 25 m/s (since the puppet is thrown straight up). Plugging in the values, we get y = 1 + 25(3.6) - 0.5(9.8)(3.6)2. After calculating, the puppet will be at a height of approximately 29.1 meters above the floor.
C. To determine how long it takes for the puppet to stop slowing down, we need to find the point at which the puppet reaches its highest point. At the highest point, the vertical velocity of the puppet would be zero before it starts coming back down. We can use the equation V = V0 + at and solve for t when V equals zero. Plugging in the values, we get 0 = 25 + (-9.8)t. Solving for t, we find that it would take approximately 2.55 seconds for the puppet to stop slowing down.