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What would be an example of spectral evidence in the Salem witch trialsa. a sudden operation visible only to the victim b. a victim feeling a deep cleaner suddenly overtake her body c. voices Whispering into the victims ear d.all of the above

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What would be an example of spectral evidence in the Salem witch trialsa. a sudden operation visible only to the victim b. a victim feeling a deep cleaner suddenly overtake her body c. voices Whispering into the victims ear d.all of the above

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A motorist drives along a straight road at a constant speed of 15.0 m/s. Just as she passes a parked motorcycle police offi cer, the offi cer starts to accelerate at 2.00 m/s2 to overtake her. Assuming that the offi cer maintains this acceleration, (a) determine the time interval required for the police offi cer to reach the motorist. Find (b) the speed and (c) the total displacement of the offi cer as he overtakes the motorist.

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Answer:

a) The time the police officer required to reach the motorist was 15 s.

b) The speed of the officer at the moment she overtakes the motorist is 30 m/s

c) The total distance traveled by the officer was 225 m.

Explanation:

The equations for the position and velocity of an object moving in a straight line are as follows:

x = x0 + v0 · t + 1/2 · a · t²

v = v0 + a · t

Where:

x = position at time t

x0 = initial position

v0 = initial velocity

t = time

a = acceleration

v = velocity at time t

a)When the officer reaches the motorist, the position of the motorist is the same as the position of the officer:

x motorist = x officer

Using the equation for the position:

x motirist = x0 + v · t (since a = 0).

x officer = x0 + v0 · t + 1/2 · a · t²

Let´s place our frame of reference at the point where the officer starts following the motorist so that x0 = 0 for both:

x motorist = x officer

x0 + v · t = x0 + v0 · t + 1/2 · a · t²      (the officer starts form rest, then, v0 = 0)

v · t = 1/2 · a · t²    

Solving for t:

2 v/a = t

t = 2 · 15.0 m/s/ 2.00 m/s² = 15 s

The time the police officer required to reach the motorist was 15 s.

b) Now, we can calculate the speed of the officer using the time calculated in a) and the  equation for velocity:

v = v0 + a · t

v = 0 m/s + 2.00 m/s² · 15 s

v = 30 m/s

The speed of the officer at the moment she overtakes the motorist is 30 m/s

c) Using the equation for the position, we can find the traveled distance in 15 s:

x = x0 + v0 · t + 1/2 · a · t²

x = 1/2 · 2.00 m/s² · (15s)² = 225 m

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A car passes a landmark on a highway traveling at a constant rate of 55 kilometers per hour. One hour later, a second car passes the same landmark traveling in the same direction at 63 kilometers per hour. How much time after the second car passes the landmark will it overtake the first car?

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Answer:

Loan B will have the lowest total payback because the interest is less than the interest for loan A

Step-by-step explanation:

We have given that :

For loan A                                                 For loan B

Principal(PV) =$4500                                Principal(PV)=$4300

Interest rate(r)= 5%                                    Interest rate(r) =6%

Time(n)= 3 years                                        Time(n)= 3 years

Formula used = loan payment =  P= frac{r(PV)}{1-(1+r)^-n}

when we put values we get,

loan payment of A= $1652.44  and  B=$1608.67

As we see Loan B will have the lowest total payback because the interest is less than A due to which loan payment of B is lowest.

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