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
Kazeer [188]
3 years ago
14

A driver has a reaction time of 0.50 s , and the maximum deceleration of her car is 6.0 m/s^2 . She is driving at 20 m/s when su

ddenly she sees an obstacle in the road 50 m in front of her. What is the distance she passes after noticing the obstacle before fully stopping? Express your answer with the appropriate units.
Physics
1 answer:
QveST [7]3 years ago
4 0

Answer:

The car stops after 32.58 m.

Explanation:

t = Time taken for the car to stop

u = Initial velocity = 20 m/s

v = Final velocity = 0

s = Displacement

a = Acceleration = -6 m/s²

Time taken by the car to stop

v=u+at\\\Rightarrow t=\frac{v-u}{a}\\\Rightarrow t=\frac{0-20}{-6}\\\Rightarrow t=3.33\ s

Total Time taken by the car to stop is 0.5+3.33 = 3.83 s

s=ut+\frac{1}{2}at^2\\\Rightarrow s=20\times 3.83+\frac{1}{2}\times -6\times 3.83^2\\\Rightarrow s=32.58\ m

The car stops after 32.58 m.

Distance between car and obstacle is 50-32.58 = 17.42 m

You might be interested in
A man walks along a straight path at a speed of 4 ft/s. A searchlight is located on the ground 6 ft from the path and is kept fo
BARSIC [14]

We are given that,

\frac{dx}{dt} = 4ft/s

We need to find \frac{d\theta}{dt} when x=8ft

The equation that relates x and \theta can be written as,

\frac{x}{6} tan\theta

x = 6tan\theta

Differentiating each side with respect to t, we get,

\frac{dx}{dt} = \frac{dx}{d\theta} \cdot \frac{d\theta}{dt}

\frac{dx}{dt} = (6sec^2\theta)\cdot \frac{d\theta}{dt}

\frac{d\theta}{dt} = \frac{1}{6sec^2\theta} \cdot \frac{dx}{dt}

Replacing the value of the velocity

\frac{d\theta}{dt} = \frac{1}{6} cos^2\theta (4)^2

\frac{d\theta}{dt} = \frac{8}{3} cos^2\theta

The value of cos \theta could be found if we know the length of the beam. With this value the equation can be approximated to the relationship between the sides of the triangle that is being formed in order to obtain the numerical value. If this relation is known for the value of x = 6ft, the mathematical relation is obtained. I will add a numerical example (although the answer would end in the previous point) If the length of the beam was 10, then we would have to

cos\theta = \frac{6}{10}

\frac{d\theta}{dt} = \frac{8}{3} (\frac{6}{10})^2

\frac{d\theta}{dt} = \frac{24}{25}

Search light is rotating at a rate of 0.96rad/s

4 0
2 years ago
Kai swims for the school swim team. He specializes in a backstroke event where he has to swim the 50 m length of the pool three
Westkost [7]

Answer:

Displacement is 50 m

Explanation:

Distance is simply the measurement of the sum of all paths travelled.

Thus, since he swims the 50m length pool 3 times, then the total distance = 50 × 3 = 150 m

Whereas, displacement is the measurement of length of the shortest path from initial point to final point.

In this case initial point to final point is 50m. Thus, the displacement is 50 m

4 0
3 years ago
Read 2 more answers
Compare and contrast the theories about the origin of the universe
Vaselesa [24]

Answer:

The best-supported theory of our universe's origin centers on an event known as the big bang. This theory was born of the observation that other galaxies are moving away from our own at great speed in all directions, as if they had all been propelled by an ancient explosive force.

Explanation:

hope this helps tho i don't quite know what you mean

7 0
3 years ago
Enumerate the viscosity of magma in different conditions.
Firlakuza [10]

Answer:

The nature of volcanic eruptions is highly dependent on magma viscosity and also on dissolved gas content. ... long it takes the treacle to flow from one end of a boiling tube to the other.

3 0
3 years ago
Answer and explanation please!! ​
expeople1 [14]

Answer:

Option 3

Explanation:

O Option C is NEGATIVELY CHARGED, meaning it has GAINED ELECTRONS resulting in a GREATER number of ELECTRONS than PROTONS.

8 0
2 years ago
Read 2 more answers
Other questions:
  • a defensive tackle picks up the 0.5kg football to a height of 0.8m in 0.25s .... 1.calculate the work done 2.calculate the power
    7·1 answer
  • A Ferris wheel is a vertical, circular amusement ride with radius 6.0 m. Riders sit on seats that swivel to remain horizontal. T
    15·1 answer
  • A substance that does not react with metal, has a bitter taste, and turns litmus paper blue is a(n) ___.
    9·1 answer
  • Please help on this one?
    6·1 answer
  • A student buys a 5000 Btu window air conditioner for his apartment bedroom. He monitors it for one hour on a hot day and determi
    12·1 answer
  • The resistivity of gold is 2.44 × 10-8 Ω · m at room temperature. A gold wire that is 1.8 mm in diameter and 11 cm long carries
    14·1 answer
  • Cuantos elementos han descubierto los humanos
    9·1 answer
  • Peregrine falcons are the fastest birds in the world, reaching max- imum speeds of up to 320 km/h (88 m/s) during a hunting stoo
    12·1 answer
  • The 1kg rock is tied to a string and swung in a circular path as shown. The 1 meter string is tied to a post, and during the mot
    8·1 answer
  • A man is standing on the shore of a beach, up to his knees in water. Every second two waves hit him. What is the frequency of th
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!