it is just a matter of integration and using initial conditions since in general dv/dt = a it implies v = integral a dt
v(t)_x = integral a_{x}(t) dt = alpha t^3/3 + c the integration constant c can be found out since we know v(t)_x at t =0 is v_{0x} so substitute this in the equation to get v(t)_x = alpha t^3 / 3 + v_{0x}
similarly v(t)_y = integral a_{y}(t) dt = integral beta - gamma t dt = beta t - gamma t^2 / 2 + c this constant c use at t = 0 v(t)_y = v_{0y} v(t)_y = beta t - gamma t^2 / 2 + v_{0y}
so the velocity vector as a function of time vec{v}(t) in terms of components as[ alpha t^3 / 3 + v_{0x} , beta t - gamma t^2 / 2 + v_{0y} ]
similarly you should integrate to find position vector since dr/dt = v r = integral of v dt
r(t)_x = alpha t^4 / 12 + + v_{0x}t + c let us assume the initial position vector is at origin so x and y initial position vector is zero and hence c = 0 in both cases
r(t)_y = beta t^2/2 - gamma t^3/6 + v_{0y} t + c here c = 0 since it is at 0 when t = 0 we assume
r(t)_vec = [ r(t)_x , r(t)_y ] = [ alpha t^4 / 12 + + v_{0x}t , beta t^2/2 - gamma t^3/6 + v_{0y} t ]
Answer: 10.3m/s
Explanation:
In theory and for a constant velocity the physics expression states that:
Eq(1): distance = velocity times time <=> d = v*t for v=constant.
If we solve Eq (1) for the velocity (v) we obtain:
Eq(2): velocity = distance divided by time <=> v = d/t
Substituting the known values for t=15s and d=155m we get:
v = 155 / 15 <=> v = 10.3
Answer:
A) wood, water, neon gas
Explanation:
Matter, which constitutes every known substances is said to exists in three states namely: gaseous, solid and liquid. Each state of matter contain particles that make up their structure.
- Solids have well arranged particles that are tightly packed together to give it its solid shape. Example is wood
- Liquids have particles that are loosely packed together, hence, can still move about. Example is water
- Gases have particles that are not packed together, hence, their ability to roam freely. Example is neon gas
Based on this, the order of MOST to LEAST ordered particle arrangement is solid - liquid- gas i.e. wood - water - neon gas.
Answer:
240 m
120 m
Explanation:
d = Path difference = 120 m
For destructive interference
Path difference
The longest wavelength is 240 m
For constructive interference
The longest wavelength is 120 m
Answer:
Civilization's planet is most likely to be doomed because within the next million years the red giant star will possibly supernova.
Explanation:
Civilization's planet is most likely to be doomed because within the next million years the red giant star will possibly supernova. The supernova is the bursting of the star that has reached its end life. This leads to release of massive amount of energy, which can be more than the heat and energy released by the sun.
