Answer:
85.556metres
Explanation:
Using pythagorean theorem
C²=A²+B²
we have c as the hypotenuse vector A thus:
93.8²=A²+38.4²
93.8²-38.4²=A²
8794.44-1474.56=A²
7319.88=A²
A=85.556
Answer:
T = T
Explanation:
The period of a simple pendulum is given by the formula
Where
l - length of the pendulum
g - acceleration due to gravity
The dimension of the physical quantities are given by,
t - T
l - L
g - m/s² - LT⁻²
Substituting in the above equation,
T = 2π √(L / LT⁻²)
Considering only the dimensional units in the equation
T = √(L / LT⁻²)
T = T
This shows that the formula for a simple pendulum is dimensionally consistent, T = T
Answer:
Amy's average speed is equal to Chris's average speed.
Explanation:
Average speed is the ratio of total distance and total time interval
So here for Amy we know that
now the average speed of Amy is given as
Similarly for Chris we will have
average speed =
so correct answer is
Amy's average speed is equal to Chris's average speed.
Answer: 2.5 seconds
Explanation:
We know that the acceleration is:
a(t) = 1.7 m/s^2
To get the velocity function, we must integrate over time, and we will get:
v(t) = (1.7m/s^2)*t + v0
Where v0 is the initial velocity, in this case, we assume that we start at 23.6m/s, then the initial velocity is:
v0 = 23.6 m/s
Then the velocity equation is:
v(t) = (1.7m/s^2)*t + 23.6 m/s
Now we want to find the value of t such v(t) = 27.8 m/s
Then:
v(t) = 27.8 m/s = (1.7m/s^2)*t + 23.6 m/s
27.8 m/s - 23.6 m/s = (1.7m/s^2)*t
4.2 m/s = (1.7m/s^2)*t
4.2m/s/(1.7m/s^2) = t = 2.5 s
Then at that acceleration, you need 2.5 seconds.