Answer:
5080.86m
Explanation:
We will divide the problem in parts 1 and 2, and write the equation of accelerated motion with those numbers, taking the upwards direction as positive. For the first part, we have:
We must consider that it's launched from the ground () and from rest (), with an upwards acceleration that lasts a time t=9.7s.
We calculate then the height achieved in part 1:
And the velocity achieved in part 1:
We do the same for part 2, but now we must consider that the initial height is the one achieved in part 1 () and its initial velocity is the one achieved in part 1 (), now in free fall, which means with a downwards acceleration . For the data we have it's faster to use the formula , where d will be the displacement, or difference between maximum height and starting height of part 2, and the final velocity at maximum height we know must be 0m/s, so we have:
Then, to get , we do:
And we substitute the values:
Answer:
1020 km
Explanation:
A complete rotation of the wheel equals a distance of 1 circumference.
The circumference is
where <em>d</em> is the diameter of the wheel.
300,000 rotations =
In kilometers, this is = 1017876/1000 km = 1020 km
Answer:
Distance = 13.9 meters
Explanation:
Given the following data;
Maximum speed = 150 km/hr to meters per seconds = 150 * 1000/3600 = 41.67 m/s
Decelerating speed = 3m/s
To find the distance travelled with this speed;
Distance = maximum speed/decelerating speed
Distance = 41.67/3
Distance = 13.9 meters
Therefore, the bus would travel a distance of 13.9 meters before stopping.
Wavelength should be in meters which is 0.023 m
c = 3.7 * 0.023 = 0.0851 (3 sf)
Answer:
Volume of the wood = 120.615 cm3
Density of the wood = 0.457 g/cm3
Explanation:
By definition, density is the mass of a substance per unit volume and its units are kg/m3, g/l etc.
Volume of a cuboid = length * breadth * height
Length = 8.5 cm
Breadth = 3.3 cm
Height = 4.3 cm
Volume of the wood = 8.5 * 3.3 * 4.3
= 120.615 cm3
Mass of the wood = 55.120 g
Density = mass/volume
= 55.120/120.615
= 0.457 g/cm3
= 457 kg/m3