Answer:
27.3 meters
Explanation:
A train travels up a hill that is 100 meters long. If the train has climbed 50 meters vertically, it traveled 27.3 meters vertically. Therefore, the answer is 27.3 meters.
(100)² = (50)²+x²
10000 - 2500 = x²
7500 = x²
x = 27.3 or 27.3 meters
Hope this helped!
The possible units for impulse would be:
<span>(N. s)
</span><span>(kg. m/s)</span>
W = 1/2k*x^2.
k = spring constant = 2500 n/m.
x = distance = 4 cm = 0.04m (convert to same units).
W = 1/2(2500)(0.04)^2 = 2J.
Answer:
When the ball hits the ground, its velocity is -128 ft/s.
Explanation:
Hi there!
First, let's find the time it takes the ball to reach the ground (the value of t for which s(t) = 0):
s(t) = -16t² + 32t + 240
0 = -16t² + 32t + 240
Solving the quadratic equation with the quadratic formula:
t = 5.0 s (the other solution of the equation is rejected because it is negative).
Now, we have to find the velocity of the ball at t = 5.0 s.
The velocity of the ball is the change of height over time (the derivative of s(t)):
v = ds/dt = s'(t) = -32t + 32
at t = 5.0 s:
s'(5.0) = -32(5.0) + 32 = -128 ft/s
When the ball hits the ground, its velocity is -128 ft/s.
