Answer:
s = 400 ft
The maximum height reached by the ball is 400 ft
Explanation:
Given;
Initial vertical velocity v = 160 ft/s
Height function s = 160t - 16t^2 ......1
The maximum height is reached when the change in height with respect to time is zero.
ds/dt = 0
Differentiating the height function;
ds/dt = 160 - 32t = 0
160 - 32t = 0
Solving for t;
32t = 160
t = 160/32
t = 5 seconds
Therefore, the maximum height is at t = 5;
Substituting into equation 1 (the height function)
s = 160(5) - 16(5^2)
s = 800 - 400
s = 400 ft
The maximum height reached by the ball is 400 ft
Answer:
C. 1.00 m/s^2
Explanation:
We can solve the problem by using Newton's second law:

where
F is the net force acting on an object
m is the mass of the object
a is its acceleration
In this case, the net force applied by Amber is F=35 N, while the total mass of the brother+the wagon is

Therefore, we can re-arrange the previous equation to find the acceleration:

Period = 6 seconds and
.
<u>Explanation:</u>
We have , the motion of a swing that requires 6 seconds to complete one cycle. Period is the amount of time needed to complete one oscillation . And in question it's given that 6 seconds is needed to complete one cycle. Hence ,Period of the motion of a swing is 6 seconds . Frequency is the number of vibrations produced per second and is calculated with the formula of
. SI unit of frequency is Hertz or Hz. We know that time period is 6 seconds so frequency =
⇒ 
⇒ 
⇒ 
Therefore , Period = 6 seconds and
.
Answer:
455,000 Pa
Explanation:
PV = nRT
If n is constant:
PV / T = PV / T
(101,325 Pa) (718 mL) / (273 K) = P (175 mL) / (26 + 273) K
P = 455,000 Pa