How high up must the 7th floor be?
If you had thrown it at the same speed but at the 28th floor, how far from the base of the building would it land?
1) 31.1 m/s
The rock has been thrown straight out of the window: its motion on the horizontal direction is simply a uniform motion, with constant speed , because no forces act in the horizontal direction. The speed in a uniform motion is given by
where S is the distance traveled and t the time taken.
In this case, the distance by the rock before hitting the ground is and the time taken is , so the initial speed is given by
2) 67.1 m
In this part of the problem we are only interested in the vertical motion of the rock. The vertical motion is a uniformly accelerated motion, with constant acceleration (acceleration of gravity) towards the ground. In a uniformly accelerated motion, the distance traveled by the object is given by
where t is the time. Substituting a=9.8 m/s^2 and t=3.7 s, we can find S, the vertical distance covered by the rock, which corresponds to the height of the 7th floor:
3) 230.1 m
The height of the 7th floor is 67.1 m. So we can assume that the height of each floor is
And so, the height of the 28th floor is
We can find the total time of the fall in this case by using the same formula of the previous part:
In this case, S=268.8 m, so we can re-arrange the formula to find t
And now we can consider the motion of the rock on the horizontal direction: we know that the rock travels at a constant speed of v=31.1 m/s, so the distance traveled is
And this is how far from the building the rock lands.
Answer:
300 m
Explanation:
The ball moves with constant velocity, so the distance it covers is given by:
where
v=6 m/s is the ball's velocity
t=50 s is the time
Substituting these numbers into the equation, we find
Answer:
C.control
Explanation:
B) gradually less in each picture.
C) gradually more in each picture.
D) proportional to the mass of the watermelon.
-- There is no need to develop the pictures. They are available immediately in a digital camera.
-- There is no change in the teacher from one picture to the next.
-- The distance the watermelon falls from the teacher in each new picture is more in each picture than in the picture before it. (C)