1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
lyudmila [28]
2 years ago
15

Starting from rest, a car takes 2.4 s to travel the first 15 m. Assuming a constant acceleration, how long will it take the car

to travel the next 15 m?
Physics
1 answer:
Nadusha1986 [10]2 years ago
3 0

Answer:

The time it will take the car to travel the next 15 m is 1 s.

Explanation:

Given;

initial velocity of the car, u = 0

time of motion, t = 2.4 s

initial distance traveled, d = 15 m

determine the constant acceleration of the car;

d = ut  +  ¹/₂at²

15 = 0  +  (0.5 x 2.4²)a

15 = 2.88a

a = 15 / 2.88

a = 5.21 m/s²

The velocity of the car at the end of the first 15 m

v - u + at

v = 0 + 5.21 x 2.4

v = 12.5 m/s

The time to cover the next 15 m;

d₂ = vt  + ¹/₂at²

15 = 12.5t  +  (0.5 x 5.21)t²

15 = 12.5t  +  2.61t²

0 = 2.61t²  +   12.5t   -  15

Use the formula method to solve the above quadratic equation.

a = 2.61

b = 12.5

c = -15

t = \frac{-b \ \ +/-   \ \ \sqrt{b^2 - 4ac} }{2a} \\\\t = \frac{-12.5 \ \ +/-   \ \ \sqrt{12.5^2 - (4\times 2.61 \times -15)} }{2\times 2.61}\\\\t = 0.9937 \ s \ \ \ or \ \ \ -5.78 \ s\\\\time \ can \ only \ be \ positive;\\\\t \approx \ 1\ s

Therefore, the time it will take the car to travel the next 15 m is 1 s.

You might be interested in
Suppose a proton ( = 1. 67×10^−27 kg) is confined to a box of width = 1. 00×10^−14 m (a typical nuclear radius).
dimulka [17.4K]

Answer:

22e837281949222324

Explanation:

3 0
3 years ago
Which travels fastest through empty space? A. electromechanical waves B. transverse waves C. longitudinal waves D. electromagnet
Nady [450]
The answer is B hope it helps:)
7 0
3 years ago
A slingshot can project a pebble at a speed as high as 38.0 m/s. (a) If air resistance can be ignored, how high (in m) would a p
kipiarov [429]

Answer:

73.67 m

Explanation:

If projected straight up, we can work in 1 dimension, and we can use the following kinematic equations:

y(t) = y_0 + V_0 * t + \frac{1}{2} a t^2

V(t) = V_0 + a * t,

Where y_0 its our initial height, V_0  our initial speed, a the acceleration and t the time that has passed.

For our problem, the initial height its 0 meters, our initial speed its 38.0 m/s, the acceleration its the gravitational one ( g = 9.8 m/s^2), and the time its uknown.

We can plug this values in our equations, to obtain:

y(t) =  38 \frac{m}{s} * t - \frac{1}{2} g t^2

V(t) = 38 \frac{m}{s} - g * t

note that the acceleration point downwards, hence the minus sign.

Now, in the highest point, velocity must be zero, so, we can grab our second equation, and write:

0 m = 38 \frac{m}{s} - g * t

and obtain:

t = 38 \frac{m}{s} / g

t = 38 \frac{m}{s} / 9.8 \frac{m}{s^2}

t = 3.9 s

Plugin this time on our first equation we find:

y = 38 \frac{m}{s} * 3.9 s - \frac{1}{2} 9.8 \frac{m}{s^2} (3.9 s)^2

y=73.67 m

6 0
3 years ago
Which property of light remains unchanged when it enters a different medium?
RideAnS [48]
B. Frequency remains unchanged because the energy in a photon is E=hf. So if the frequency changes so does the energy and that doesn't happen to EM waves entering a medium by the conservation of energy
7 0
3 years ago
Read 2 more answers
How does the digestive system interact with the following organ systems (circulatory, muscular and nervous system) to maintain h
Lemur [1.5K]

Answer:

The circulatory system breaks down food and gets / absorbs nutrients. The muscular system works to get nutrients to the rest of the body. The nervous system basically controls the digestive system and sends information to the brain.

I'm pretty sure I'm right, but please correct me if I'm wrong! :)

5 0
3 years ago
Other questions:
  • Calculate the broadcast wavelength of the radio station 99.90 fm. seconds
    9·1 answer
  • A very long, solid cylinder with radius R has positive charge uniformly distributed throughout it, with charge per unit volume \
    9·1 answer
  • A 1.0-kg block moving to the right at speed 3.0 m/s collides with an identical block also moving to the right at a speed 1.0 m/s
    14·1 answer
  • A parallel-plate air capacitor with a capacitance of 260 pF has a charge of magnitude 0.155 μC on each plate. The plates have a
    13·1 answer
  • Explain why saucepans are much more common with plastic handles than metal handles.
    8·2 answers
  • Someone help me pls
    11·2 answers
  • Define Refraction and give some knowlegde about it
    5·1 answer
  • Suppose that you'd like to find out if a distant star is moving relative to the earth. The star is much too far away to detect a
    7·1 answer
  • Which has more kinetic
    9·2 answers
  • A descent vehicle landing on the moon has
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!