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
lord [1]
3 years ago
6

A car accelerates in the +x direction from rest with a constant acceleration of a1 = 1.76 m/s2 for t1 = 20 s. At that point the

driver notices a tree limb that has fallen on the road and brakes hard for t2 = 5 s until it comes to a stop.
Part (a) Write an expression for the car's speed just before the driver begins braking, v1.
Part (b) If the limb is on the road at a distance of 550 meters from where the car began its initial acceleration, will the car hit the limb?
Part (c) How far, in meters, from the original location of the limb will the car be when it stops?
Physics
1 answer:
alex41 [277]3 years ago
8 0

Answer:

(a)v_1 = a_1t_1 = 1.76 t_1

(b) It won't hit

(c) 110 m

Explanation:

(a) the car velocity is the initial velocity (at rest so 0) plus product of acceleration and time t1

v_1 = v_0 + a_1t_1 = 0 +1.76t_1 = 1.76t_1

(b) The velocity of the car before the driver begins braking is

v_1 = 1.76*20 = 35.2m/s

The driver brakes hard and come to rest for t2 = 5s. This means the deceleration of the driver during braking process is

a_2 = \frac{\Delta v_2}{\Delta t_2} = \frac{v_2 - v_1}{t_2} = \frac{0 - 35.2}{5} = -7.04 m/s^2

We can use the following equation of motion to calculate how far the car has travel since braking to stop

s_2 = v_1t_2 + a_2t_2^2/2

s_2 = 35.2*5 - 7.04*5^2/2 = 88 m

Also the distance from start to where the driver starts braking is

s_1 = a_1t_1^2/2 = 1.76*20^2/2 = 352

So the total distance from rest to stop is 352 + 88 = 440 m < 550 m so the car won't hit the limb

(c) The distance from the limb to where the car stops is 550 - 440 = 110 m

You might be interested in
Define average velocity.Immersive Reader
vagabundo [1.1K]

Answer:

The slope of a graph of position vs time

4 0
3 years ago
What causes competition among organisms?
dimaraw [331]
Both organisms attempt to use the same limited sources
5 0
3 years ago
The coordinate of a particle in meters is given by x(t)=1 6t- 3.0t , where the time tis in seconds. The
Reika [66]

Complete question:

The coordinate of a particle in meters is given by x(t)=1 6t- 3.0t³ , where the time tis in seconds. The

particle is momentarily at rest at t is:

Select one:

a. 9.3s

b. 1.3s

C. 0.75s

d.5.3s

e. 7.3s

​

Answer:

b. 1.3 s

Explanation:

Given;

position of the particle, x(t)=1 6t- 3.0t³

when the particle is at rest, the velocity is zero.

velocity = dx/dt

dx /dt = 16 - 9t²

16 - 9t² = 0

9t² = 16

t² = 16 /9

t = √(16 / 9)

t = 4/3

t = 1.3 s

Therefore, the particle is momentarily at rest at t = 1.3 s

6 0
3 years ago
What is the wavelength of violet light that has a frequency of 7.5x10^14
Crank
Λ= V/f 
<span>but change it to represent the speed of light, c </span>
<span>λ= c/f </span>
<span>c = 3.00 x 10^8 m/s </span>
<span>Plug in your given info and solve for λ(wavelength) </span>
<span>λ= 3.00 x 10^8 m/s / 7.5 x 10^14 Hz
(3.00 x 10^8) / (7.5 x 10^14) = 300,000,000 / 750,000,000,000,000 = 0.0000004
Hope this helps :)
</span>
6 0
3 years ago
Read 2 more answers
Are zebra fish schooling fish?
Alex73 [517]

Answer:

they r schooling fish

Explanation:

they need to be kept in groups of 5.

5 0
3 years ago
Read 2 more answers
Other questions:
  • What is the correct definition of refraction?
    14·1 answer
  • Dalton proposed the first atomic model. Which of these statements accurately reflected his thinking at that time?. . . . A.. Ato
    15·2 answers
  • Stars only emit light within the visible spectrum of the electromagnetic spectrum.
    14·1 answer
  • A laser beam of unknown wavelength passes through adiffraction grating having 5510 lines/cm after striking itperpendicularly. Ta
    7·1 answer
  • Rearrange the formula F=ma, and solve for the variable (a)
    6·1 answer
  • 1) A car is moving to the right with the constant speed of 1.2 m/s. If the car starts
    15·1 answer
  • A. Community<br> B. Organism<br> C. Population <br> D. Individual
    7·2 answers
  • Which symbol and unit of measurement are used for resistance?
    14·2 answers
  • A stationary charge is located between the poles of a horseshoe magnet. Is a magnetic force excerted of the charge? why?
    7·1 answer
  • What data will the simulation provide about your design? You will also need a control (something you don’t change) that you can
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!