To the nearest hundredth of a second, how much time does it take a car to travel 50 feet from a stop at a constant acceleration of 3. 2 ft/s²? Use d=1/2at², where d represents distance, a represents acceleration, and t represents time in seconds. (pic above)

Answers

Answer 1

Answer:

$d=(1)/(2)at^2\n\nWe\ have:\n\nd=50\ ft,\ a=3.2(ft)/(s^2)\n\nSubstitute:\n\n(1)/(2)\left(3.2(ft)/(s^2)\right)t^2=50\ ft\n\n1.6(ft)/(s^2)t=50\ ft\qquad\text{divide both sides by}\ 1.6(ft)/(s^2)\n\nt^2=50\ ft\cdot(1)/(1.6)(s^2)/(ft)\n\nt^2=(50)/(1.6)s^2\n\nt^2=(500)/(16)s^2\to t=\sqrt{(500)/(16)s^2}\n\nt=(√(500))/(√(16))s\n\nt=(√(100\cdot5))/(4)s\n\nt=(√(100)\cdot\sqrt5)/(4)s\n\nt=(10\sqrt5)/(4)s\approx5.59\ s$

$Answer:\ \boxed{5.59\ s}$

Answer 2

Answer:

Final answer:

Using the given equation and values, we can calculate that it would take approximately 5.59 seconds for a car to travel 50 feet from a stop with a constant acceleration of 3.2 ft/s².

Explanation:

To solve this physics problem, we'll need to use the equation d=1/2at². Here, 'd' represents distance, 'a' represents acceleration, and 't' represents time. Here, we are given 'd' as 50 feet and 'a' as 3.2 ft/s². Now we just need to isolate 't' and solve for time.

Start with the given equation: d=1/2at².
Substitute the given values: 50=1/2*3.2*t².
Remove the fraction by multiplying all terms by 2: 100=3.2*t².
Divide both sides by 3.2 to isolate t²: t²=31.25.
Take the square root of both sides to solve for 't': t=√31.25.
So, t ≈ 5.59 s (rounded to the nearest hundredth).

To summarize, a car traveling 50 feet from a stop with a constant acceleration of 3.2 ft/s² would take approximately 5.59 seconds. Always remember to isolate the unknown in your equation and solve step-by-step for these types of problems.

Learn more about Constant Acceleration here:

brainly.com/question/37024881

#SPJ11

Related Questions

Joshua uses a rule to write the following sequence of numbers 1/6,1/2,5/6,----------,11/2 What rule did Joshua use? What is the missing number in the sequence?
Which of the following represents a random sample if the population being sampled is students participating in athletics at a local middle school?choosing ten students that also participate in a music class choosing ten students from a box that contains the names of the entire group choosing five students each from seventh and eighth grade choosing five female students and five male students
If x3 = 125, what is the value of x? 3 5 12 42
7. A cargo train covers 375 km in 15 hours. Find: b) time taken to travel 770 km.
True or false: The value of r represents the reference angle when plotting a point in polar coordinates.

Pls help
8(t + 2) - 3(t - 4) = 6(t - 7) + 8
what is t?

Answers

Answer: t = 62

**look at attachment for explanation

Jimmy had three times add many comic books as Charlie. Charlie had 2/3 as many add Bob. Bob had 72 books. how many does Jim have

Answers

Let J = Jimmy and C = Charlie and B = Bob

J = 3C
C = B(2/3)
B = 72

Solving upwards...
C = 72(2/3)
C = 48
J = 3(48)
J = 144

Jim has 144 comic books.

in an over-fished area, the catch of a certain type of fish is decreasing at an average rate of 8% per year. If this decline persists, how long will it take for the catch to reach half of the amount before the decline???

Answers

n = n0(1 - 0.08)^t
= n0(0.92)^t

Putting n = n0 / 2:
1 / 2 = 0.92^t
t = log(1 / 2) / log(0.92)
= 8.31 yr.

Part 1 : angle-angle-side , angle-side-angle, hypotenuse-leg, side-side-angle, side-angle-side,angle-angle-angle, side-side-sidePart 2 : can be proven congruent or cannot be proven congruent

Geometry

Answers

Answer:

The two triangles are related by Angle-Side-Angle (ASA), so the triangles can be proven congruent.

Step-by-step explanation:

As you can see in the images provided, the triangles have 2 congruent corresponding angles accompanied by a congruent corresponding side. This leaves you with the answer choice of the ASA Theorem.

If a man travels p hours at an average rate of q miles per hour, and then r hours at an average rate of s miles per hour, what is his overall average rate of speed?

Answers

Total miles traveled in p hours = p*q miles and
Total miles traveled in r hours = r*s miles
so, average rate of speed = total miles traveled / number of hours
=[{(p*q)+(r*s)} / (p+r)] miles per hour

How many leaves on a tree diagram are needed to represent all possible combinations tossing a coin 4 times?