Answer:
The time taken in years is
Explanation:
From the question we are told that
The speed is
The distance from the sun to Pluto is
Generally the time taken is mathematically represented as
=>
=>
Converting to years
=>
=>
Answer:
The horizontal distance travelled in that time lapse is 12.94 m
Explanation:
In order to solve this problem, we'll need:
At the lowest point of the roof, the hammer has a 9.88 m/s speed that makes an angle of 27° with the horizontal, so we can calculate the horizontal and vertical speed with trigonometry. If we take right as x positive and down as y positive we get
Now, we make two movement equation as we have a URM (no acceleration) in x and an ARM (gravity as acceleration) in y. We will wisely pick the lowest point of the roof as the origin of coordinates
Now we calculate the time the hammer takes to get to the floor
or
Now, we keep the positive time result and calculate the horizontal distance travelled
Answer:
The box displacement after 6 seconds is 66 meters.
Explanation:
Let suppose that velocity given in statement represents the initial velocity of the box and, likewise, the box accelerates at constant rate. Then, the displacement of the object (), in meters, can be determined by the following expression:
(1)
Where:
- Initial velocity, in meters per second.
- Time, in seconds.
- Acceleration, in meters per square second.
If we know that ,
and
, then the box displacement after 6 seconds is:
The box displacement after 6 seconds is 66 meters.