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
wariber [46]
3 years ago
5

A particle is moving along a straight line such that when it is at the origin it has a velocity of 4 m/s. if it begins to decele

rate at the rate of a= (-1.5v^1/2) m/s^2, where v is in m/s, determine the distance it travels before it stops.
Physics
1 answer:
MakcuM [25]3 years ago
3 0

To solve this problem we will apply the second law of kinematics that describes the position as a function of speed, time and its acceleration, as

x = v_0t + \frac{1}{2} at^2

Here,

v_0 = Initial velocity

t = Time

a = Acceleration

Our values are,

t = 2

v_0 = 4m/s

a = -1.5\sqrt{v}

Replacing we have that

x = v_0t + \frac{1}{2} at^2

x = 4(2)+\frac{1}{2}(-1.5\sqrt{v})(2)}^2

x = 8+2(-1.5\sqrt{v})

x = 8-3\sqrt{v}

From this expression we could determine the position traveled, without considering that the given speed is the same assumed in the term of acceleration. Under this consideration we would have to v = 4m / s

x = 8-3\sqrt{4}

x = 8-3*2

x = 2m

You might be interested in
A father is trying to teach his child to ice skate. As the child stands still, the father pushes him forward with an acceleratio
rjkz [21]

Hi there!

We can use Newton's Second Law:

\Sigma F = ma

∑F = net force (N)

m = mass (kg)

a = acceleration (m/s²)

We are given the mass and acceleration, so:

∑F = 20 · 2 = <u>40 N</u>

4 0
3 years ago
12. A car is travelling at 30 m/s when the driver sees a red light in the distance and immediately applies the brakes. The car c
Triss [41]

Answer:

22.5 m

Explanation:

From the question given above, the following data were obtained:

Initial velocity (u) = 30 m/s

Time (t) = 1.5 s

Final velocity (v) = 0 m/s

Distance (s) =?

The distance to which the car move before stopping from the time the driver applied the brake can be obtained as follow:

s = (u + v)t/2

s = (30 + 0)1.5 / 2

s = (30 × 1.5) / 2

s = 45 / 2

s = 22.5 m

Thus, the car will move to a distance of 22.5 m before stopping from the time the driver applied the brake.

4 0
3 years ago
What happens to the density of ocean water when salinity increases? A. It increases. B. It decreases. C. It becomes variable. D.
omeli [17]
A. It increases... but slightly. Good luck!
3 0
3 years ago
A cyclist travels 36km in 3 hours. What is the cyclist’s average speed?
dybincka [34]
To determine what the cyclists average speed is, simply divide the distance the cyclist has travelled by the time the cyclist has traveled for.

Assuming that this is the average rate the cyclist is moving at it would be 12 km/hr.
4 0
3 years ago
type 2 diabetes runs in familes, but its frequency has been rising in recent years. what factors might explain this increase in
FrozenT [24]

Answer:

poor diet andlack of exersise

Explanation:

8 0
3 years ago
Other questions:
  • A 5kg book rests on a table. How much force is it exerting on the table?​
    10·2 answers
  • The electromagnetic waves that have the lowest frequencies are called a. radio waves. c. ultraviolet waves. b. microwaves. d. x-
    11·1 answer
  • Exercise Book: 18
    5·1 answer
  • When the saw slices wood, the wood exerts a 104-N force on the blade, 0.128 m from the blade’s axis of rotation. If that force i
    12·1 answer
  • A circuit contains nine 250-watt lamps connected in parallel across a 120-volt circuit. How much power is consumed by the circui
    8·1 answer
  • A train, traveling at a constant speed of 25.8 m/s, comes to an incline with a constant slope. While going up the incline, the t
    7·1 answer
  • which cell structure is responsible for taking in and breaking down foreign particles and damaged organelles?
    15·1 answer
  • A metal spoon becomes hot after being left in a pan of boiling water. this is an example of _____. conduction reflection radiati
    10·2 answers
  • 3. 500ml of 60oC water at is added to a beaker. Water’s specific heat is 4.186 J/g °C. You have 40ml of and unknown substance th
    7·1 answer
  • Which of the following statements best represents a comparison of the two motions shown on the graph?
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!