1) 234 s, 6.18 km
The position of the car at time t is described as

where
is the velocity of the car
The position of the head of the train instead is given by

where
d = 1.30 km is the initial distance between the car and the head of the train
is the velocity of the train
The car overtakes the train when

Substituting and solving for t,

And the distance travelled by the car is

2) 27.5 s, 0.72 km
In this case, the train is travelling in opposite direction, so we can write

Again, we can use the same equation as before

And solving for t, we find

And the distance travelled by the car is

Answer:
The height of the cliff is 121.276 m
Explanation:
Given;
initial velocity of the projectile, v₁ = 75 m/s
final velocity of the projectile, v₂ = 90 m/s
spring compression = 5 m
Apply the law of conservation of energy;
mgh₀ + ¹/₂mv₁² = mgh₂ + ¹/₂mv₂²
gh₀ + ¹/₂v₁² = gh₂ + ¹/₂v²
gh₁ - gh₂ = ¹/₂v₂² - ¹/₂v₁²
g(h₀ - h₂) = ¹/₂ (v₂² - v₁²)
h₀ - h₂ = ¹/₂g (v₂² - v₁²)
h₀ = h(cliff) + 5m
when the projectile hits the ground, Final height, h₂ = 0

Therefore, the height of the cliff is 121.276 m
To choose the correct box plot, verify each of the options and make sure all the values in the plot match the values provided.
<h3>How to identify the median?</h3>
In a box plot, this value is represented by a vertical line located in the middle of the graph.
<h3>How to identify the maximum and the minimum?</h3>
The maximum is the value located on the farthest right, while the minimum is located on the farthest left.
<h3>How to identify the quartiles?</h3>
Divide the graph into 4 and analyze how much each quartile represents.
Learn more about graphs in: brainly.com/question/16608196
#SPJ1
Force that is of equal magnitude
Answer:
<h2>3000 J</h2>
Explanation:
The kinetic energy of an object can be found by using the formula

m is the mass in kg
v is the velocity in m/s
From the question
m = 60 kg
v = 10 m/s
We have

We have the final answer as
<h3>3000 J</h3>
Hope this helps you