4. The Coyote has an initial position vector of .
4a. The Coyote has an initial velocity vector of . His position at time is given by the vector
where is the Coyote's acceleration vector at time . He experiences acceleration only in the downward direction because of gravity, and in particular where . Splitting up the position vector into components, we have with
The Coyote hits the ground when :
4b. Here we evaluate at the time found in (4a).
5. The shell has initial position vector , and we're told that after some time the bullet (now separated from the shell) has a position of .
5a. The vertical component of the shell's position vector is
We find the shell hits the ground at
5b. The horizontal component of the bullet's position vector is
where is the muzzle velocity of the bullet. It traveled 3500 m in the time it took the shell to fall to the ground, so we can solve for :
Answer:
1.
2.
3.
Explanation:
Given:
- mass of slinky,
- length of slinky,
- amplitude of wave pulse,
- time taken by the wave pulse to travel down the length,
- frequency of wave pulse,
1.
2.
<em>Now, we find the linear mass density of the slinky.</em>
We have the relation involving the tension force as:
3.
We have the relation for wavelength as:
<span>Assuming the car is travelling in the same direction for the entire hour, the acceleration is zero.</span>
1mL of coke cost =$0.00117.
The cost of 2-liter bottle of coke is $2.34
The unit of 1 liter is 1000ml.
Then the 2 liter coke bottle volume is 2000ml
The formula is ( divide the total price by the quantity).
$2.34/2000=0.00117.
The capacity of a liquid is measured in metric units of volume called liters and milliliters. There are four units of measurement for liquid volume: milliliters, centiliters, liters, and kiloliters. The values of these units vary even though they all refer to the same quantity.
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