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
IrinaK [193]
3 years ago
5

A roller coaster is traveling at 13 m/s when it approaches a hill that is 400 m long. Heading down the hill, it accelerates at 4

.0 m/s2. What is the final velocity of the roller coaster?
Physics
1 answer:
SIZIF [17.4K]3 years ago
5 0

Answer:

The  value is    v = 47 \  m/s

Explanation:

From the question we are told that

   The initial  speed of the roller coaster is u =  13 \  m/s

    The  length of the hill is  l   = 400 \  m

    The  acceleration of the  roller coaster is a=4.0 \ m/s^2

Generally the acceleration is mathematically represented as

      a =  \frac{ v - u}{ t_f -  t_i }

Here  t_i is the initial time which is equal to zero

         v_f is the final velocity which is mathematically represented as

          v_f  =  \frac{d}{ t_f}

So  

     a =  \frac{ \frac{d}{d_f}  - u }{ t_f - t_i}

     4 = \frac{\frac{400}{ t_f}  - 13}{t_f - 0}

      4 =  \frac{400 - 13t_f}{ t_f} *  \frac{1}{t_f}

     4t_f ^2  +13f  + 400 =

Solving this using quadratic formula we obtain

    t_f =  8.5 \ s

     t_f =  -11.8 \ s

Generally  time cannot be negative so

       t_f =  8.5 \ s

Generally the  final velocity is mathematically represented as

         v = \frac{400}{8.5}

         v = 47 \  m/s

       

You might be interested in
Football player A has a mass of 210 pounds and is running at a rate of 5.0 mi/hr. He collides with player B. Player B has a mass
Naddika [18.5K]

The equation for momentum is p = mv where p is the omentum, m is the mass and v is the velocity. Calculating the momentum for each football player, player A will have a momentum of 1050 lb-mi/h and player B will have a momentum of 570 lb-mi/h. Therefore, momentum of player A is greater than that of player B.

6 0
3 years ago
Read 2 more answers
A sound travels down a hallway that is 115 m long. Then it echoes and
yan [13]

Answer:

0.66 s

Explanation:

∆x = v∆t → 2 × 115 = 350 ∆t → ∆t = 230/350 = 0.66 s

7 0
2 years ago
A student performed the following steps to find the solution to the equation x^2-2x-15=0 Where did the student go wrong? STEP 1:
AveGali [126]
B. In step 3

They incorrectly solved for x. It should have been x=-3 and x=5
3 0
3 years ago
A rock is thrown vertically upward from some height above the ground. It rises to some maximum height and falls back to the grou
True [87]

Answer:

At the highest point the velocity is zero, the acceleration is directed downward.

Explanation:

This is a free-fall problem, in the case of something being thrown or dropped, the acceleration is equal to -gravity, so -9.80m/s^2. So, the acceleration is never 0 here.

I attached an image from my lecture today, I find it to be helpful. You can see that because of gravity the acceleration is pulled downwards.

At the highest point the velocity is 0, but it's changing direction and that's why there's still an acceleration there.

6 0
3 years ago
19. When baking soda and vinegar are combined, the result is a salt called sodium acetate. This forms
Orlov [11]
It is a chemical change because the baking soda and vinegar are reacting to form a new product.
3 0
3 years ago
Other questions:
  • Leaves uses_,_and_to make food for the plant​
    10·2 answers
  • One hundred turns of (insulated) copper wire are wrapped around a wooden cylindrical core of cross-sectional area 5.87 × 10-3 m2
    5·1 answer
  • A boy flying a kite is standing 30 ft from a point directly under the kite. if the string to the kite is 50 ft long, what is the
    11·1 answer
  • The small increase in global oil production coupled with an increased demand for those resources leads to _______.
    15·2 answers
  • What is the transfer of energy by electromagnetic waves?
    5·1 answer
  • All of the celestial bodies of the solar system were said to have formed from -a nebular cloud of dust and gas -the protostar -d
    5·2 answers
  • Two objects collide and bounce apart. Assuming no outside forces act on the system, which best describes the total momentum afte
    6·2 answers
  • There are two unitless vectors:
    7·1 answer
  • Which statement illustrates how engineering has influenced society?
    14·1 answer
  • If the Earth’s mass decreased, how would the gravity between the Sun and Earth change?
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!