Mark practices his guitar 3/4 hours each day. How many hours does he practice in seven days?
1 answer:
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The profit would be 5% of 400, or 
, that is, $20 for profit! Not much, I suppose...
Answer:
a) 63.6 ft
b) 1.99 seconds
c) 4.98 seconds
Step-by-step explanation:
a) The object will reach maximum height when its final velocity, v, is 0 m/s.
We apply one of Newton's equations of motion to solve this:
where u = initial velocity = 64 ft/s
g = acceleration due to gravity = 32.2 ft/s
h = height reached by object.
Note: the equation has a negative sign because the object is going upwards, against gravity.
Hence:
The object is now 63.6 ft above the platform (143.6 ft above the ground).
b) Time taken to get to that height can be gotten by using another one of Newton's equations:
=>
It took the object 1.99 secs to get to that height.
c) When the object begins falling to ground level, it is at a height, h = 143.6 ft and begins moving at initial velocity, u = 0 m/s.
Applying another of Newton's equations of motion, we have that:
where t is the time taken to hit the floor after it begins its descent.
Therefore,
This is the time it will take the object to hit the floor after it begins its descent.
Therefore, the total time it will take for the object to hit the ground after it is launched will be:
T = time taken to reach maximum height + time taken to hit the floor after it begins descending
T = 1.99 + 2.99
T = 4.98 seconds
<h3>Answer: Choice A</h3>
The first line shown in choice A is which means "the first term is -2"
The next line in choice A means "the nth term () is found by multiplying the prior term (
) by 8". Put another way: multiply each term by 8 to get the next term.
first term = -2
second term = 8*(first term) = 8*(-2) = -16
third term = 8*(second term) = 8*(-16) = -128
fourth term = 8*(third term) = 8*(-128) = -1024
and so on.