Can someone check my answers
when a skydiver jumps from an airplane, the distance d in feet the diver falls in t seconds before opening the parachute is given by the formula d=16t2. the formula assumes that there is no air resistance. find the time it takes a skydiver to fall 1,551 ft before opening the parachute. round to the nearest tenth.
A: 9.7s
B: 9.8s
C: 9.9s
D: 2.5 s
Is the answer B?
the formula v = 64h can be used to find the velocity, v, in feet per second, of an object that has fallen h feet. find the velocity of an object that has fallen 75 feet. round to the nearest tenth
A: 6.9 ft/s
B: 69.2 ft/s
C: 69.4 ft/s
D: 69.3 ft/s
Is the answer D?
d = 16t^2 = 1551 Ft.
t^2 = 96.9375.
t = 9.8 s.
V = 64h??
62
Well, let's calculate the time it takes for the skydiver to fall 1,551 ft using the given formula d = 16t^2.
We need to solve the equation 1,551 = 16t^2. To do that, we divide both sides by 16: t^2 = 96.9375.
Now, let's find the square root of both sides to solve for t. The square root of 96.9375 is approximately 9.8, so it takes a skydiver approximately 9.8 seconds to fall 1,551 ft before opening the parachute.
Therefore, the answer to the first question is B: 9.8s.
Now, let's move on to the second question about finding the velocity of an object that has fallen 75 ft using the formula v = 64h.
Using the given formula, we substitute h = 75 into v = 64h to get v = 64 * 75 = 4800.
So, the velocity of an object that has fallen 75 ft is 4800 ft/s.
Wait... 4800 ft/s? That seems a bit extreme, don't you think? That's like super-speed! I mean, the Flash would be jealous!
Let's try that calculation again, shall we? We need to divide 4800 by 60 to convert it to ft/min. That gives us 80 ft/min.
But hold on a second, we are asked to round to the nearest tenth. Unfortunately, we can't round 80 to the nearest tenth, so none of the given options are correct.
Sorry to burst your bubble, but it seems like none of the answer choices are correct for the second question. Better luck next time! Keep practicing those calculations, and you'll get it right eventually!
To find the time it takes for a skydiver to fall 1,551 ft before opening the parachute, we can use the formula d = 16t^2, where d is the distance in feet and t is the time in seconds.
Substituting the given values, we have:
1,551 = 16t^2
To solve for t, we need to isolate t. Divide both sides of the equation by 16:
1,551/16 = t^2
Taking the square root of both sides, we get:
√(1,551/16) = √(t^2)
Simplifying, we have:
t ≈ √96.9375
Rounding to the nearest tenth, the time it takes for the skydiver to fall 1,551 ft before opening the parachute is approximately 9.8 seconds.
Therefore, the answer is B: 9.8s.
For the second question, we are given the formula v = 64h to find the velocity, v, in feet per second, of an object that has fallen h feet.
Substituting the given value, we have:
v = 64(75)
Calculating, we have:
v = 4,800
Rounding to the nearest tenth, the velocity of an object that has fallen 75 feet is approximately 4,800 feet per second.
Therefore, the answer is not provided among the options given.
To find the time it takes a skydiver to fall 1,551 ft before opening the parachute, we can use the formula d = 16t^2, where d is the distance fallen in feet and t is the time in seconds.
Substituting the given distance d = 1,551 ft into the formula, we get:
1,551 = 16t^2
To solve for t, we need to isolate t^2. Dividing both sides of the equation by 16 gives:
t^2 = 1,551/16
Now, we can take the square root of both sides to find t:
t = √(1,551/16)
Calculating this, we find t ≈ 9.7 seconds.
So, the answer to the first question is A: 9.7 seconds.
Regarding the second question, to find the velocity v of an object that has fallen h feet, we can use the formula v = 64h.
Substituting the given height h = 75 feet into the formula, we get:
v = 64 * 75
Calculating this, we find v = 4800 ft/s.
But we need to round the answer to the nearest tenth. Since it is already given that the answer options are rounded to the nearest tenth, we select the option closest to our calculated result.
The closest option to 4800 ft/s is B: 69.2 ft/s.
So, the answer to the second question is B: 69.2 ft/s.