Question 1:
Looking for: "speed" (velocity: v)
Given: 112.0 meters (distance: d) 4.0 seconds (time: t)
Formula used: v=d/t
since velocity is equal to the distance (112m) divided by the time (4sec) you would have 112m/4s which is 28m/s. m/s is meters traveled per second traveling aka meters per second.
Question 2:
Looking for: average "speed" don't let the word average confuse you it is still velocity.
Given: 60km (distance: d) and 3.5 hours (time: t)
Formula required: v=d/t
Since velocity needs to be in the units of m/s first convert your time, which was provided in hours, to seconds.
3.5 hours 60 minutes per hour: 3.5 x 60= 210 minutes
210 minutes 60 seconds per minute: 210 x 60= 12600 seconds
also, kilometers needs to be converted to meters. The prefix kilo means 1000 so 1 kilometer = 1000 meters.
60 x 1000 = 60,000 meters
Plug the values into the equation required:
v=d/t
v= 60,000m / 12,600sec
v= 4.76 m/s
The experiments will involve two billiard balls of known masses, m₁ and m₂, and velocities u₁ and u₂. The two are allowed to collide and the velocities of the balls after the collision v₁ and v₂ are recorded.
The momentum before and after the collision is then calculated as follows:
m₁u₁ + m₂u₂ = m₁v₁ + m₂v₂
<h3>What is the statement of the law of conservation of momentum?</h3>
The law of the conservation of momentum states that the momentum before and after collision in a system of colliding bodies is conserved
The momentum of a body is calculated using the formula below:
Momentum = mass * velocity.
Hence, for the two billiard balls, the momentum before and after the collision is conserved.
Learn more about momentum at: brainly.com/question/1042017
#SPJ1
Answer:
Slope of this line = 0.993
Explanation:
Data provided in the question:
The regression line highway mpg =7.903 + (0.993×city mpg)
for predicting highway mileage from city mileage
Now,
The general equation for the regression line is given as :
y = mx + c
here,
y is the dependent
m is the slope of the regression line
x is the variable
c is the constant
on comparing the general regression line with the given data in the question
we get
y = highway mpg
m = 0.993
x = city mileage
c = 7.903
hence,
Slope of this line = 0.993
Answer:
3.75 seconds
Explanation:
Given:
y₀ = 2.00 m
y = 0 m
v₀ᵧ = 20.0 sin 60.0°
aᵧ = -9.8 m/s²
Find: t
y = y₀ + v₀ᵧ t + ½ aᵧ t²
0 = 2.00 + (20.0 sin 60.0°) t + ½ (-9.8) t²
0 = 2 + 10√3 t − 4.9 t²
Solve with quadratic method:
t = [ -10√3 ± √(300 − 4(-4.9)(2)) ] / -9.8
t = (-10√3 ± √378.4) / -9.8
t ≈ -0.218, 3.75
Since t > 0, the ball lands after approximately 3.75 seconds.