Identify each statement that describes a benefit of the scientific method. (Select all choices that apply)
1 answer:
You might be interested in
Answer:
a) A = [m /s²]
, B = [m / ]
, b) v = a to + 2B/3
Explanation:
a) to define the units of the constants, we see that the left part has units of acceleration so the right part must also have the same units
A = [m /s²]
B = [m / s²]
B = [m / ]
b) We must use the definition of acceleration
a = dv / dt
dv = adt
We integrate
∫ dv = ∫ (A + B ) dt
v = a t + B 2/3
We evaluate between:
the lower limit t = 0 v = o and the upper limit t = to v = v
v = a to + 2B/3
c) Let's use the definition of speed
v = dx / dt
dx = v dt
∫ dx = ∫ (a t + 2B/3 ) dt
x = a t²/2 + 2b/3 2/5
For the interval t = 0 and t = to, we evaluate the integral
x = A/2 t₀² + 4B/15 √t₀⁵
Answer:
56 m/s
Explanation:
The time we are considering is
t = 15 s
The vertical velocity of the projectile is given by
where
is the initial vertical velocity
is the acceleration due to gravity
Substituting t=15 s, we find the vertical velocity of the projectile at that time:
where the negative sign means the direction is now downward.
The horizontal velocity does not change since there are no forces acting along that direction, so it remains constant:
So, the magnitude of the velocity at the moment of impact is