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
lesya [120]
2 years ago
5

Greg and Tabitha are jogging together. At time t = 0, they are both traveling at a speed of 4 m/s, but Greg is 8 m ahead of Tabi

tha. Tabitha accelerates at a rate of 1.5 m/s2 and Greg accelerates at a rate of 1.0 m/s2.
a. Write an expression for Greg's position. Plug in all the values you can to simplify the expression. (1 point)

b. Write an expression for Tabitha's position. Plug in all the values you can to simplify the expression. (1 point)

c. How long does it take Tabitha to catch up to Greg? (1 point)

d. How far has Tabitha run while catching up to Greg? (1 point)
Physics
1 answer:
Ray Of Light [21]2 years ago
8 0

Answer:

The answer to question is below

Explanation:

Data

t1 = 0

vo = 4 m/s

a)

      d = vot + \frac{1}{2} at^{2}

      d = 4t + \frac{1}{2} (1)t^{2} + 8

      d = 8 + 4t + \frac{t^{2} }{2}

b)

      d = 4t + \frac{1}{2} (1.5)t^{2}

      d = 4t + 0.75t^{2}

c)    

       8 + 4t + \frac{t^{2} }{2}  =  4t + 0.75t^{2}

       4t + \frac{1}{2} t^{2} + 8 = 4t + \frac{1}{2} (1.5)t^{2} \\

       0.75t^{2} - 0.5t^{2}  = 8

       0.25t^{2} = 8

                      t² = 32

                      t = 5.66 s

d)

      d = 4(5.66) + 0.75(5.66)²

      d = 22.64 + 24.02

      d = 46.67 m

You might be interested in
1. ________________electricity is the type of electricity commonly used in homes and businesses throughout the world.
amid [387]
Number 1 is letter A
3 0
3 years ago
IN WHAT CONDITION DO SOUND ECHO
DerKrebs [107]

Answer:

The conditions necessary for hearing the echo. The distance between the sound source and the reflecting surface must not be less than 17 metres where the time period between hearing the original sound and its echo should not be less than 0.1 of a second.

6 0
2 years ago
A 100 N force is applied to move an object a horizontal distance of 5 meters at constant speed in 10 seconds. How much power is
Tpy6a [65]

Answer:

50 W

Explanation:

<h3><u>Given :</u></h3>

  • Force applied = 100 N
  • Distance covered = 5 metres
  • Time = 10 seconds

<h3><u>To find :</u></h3>

Power

<h3><u>Solution :</u></h3>

For calculating power, we first need to know about the work done.

\bf \boxed{Work = Force \times displacement}

Now, substituting values in the above formula;

Work = 100 × 5

= 500 Nm or 500 J

We know that,

\bf \boxed{Power=\dfrac{Work\:done}{Time\: taken}}

Substituting values in above formula;

Power = 500/ 10

= 50 Nm/s or 50 W

Hence, power = 50 W .

5 0
3 years ago
What is static and sliding friction
vodka [1.7K]
Static friction is the friction that exists between a stationary object and the surface on which it's resting.
frictional force occurs when you try to push an object alongside a surface.
5 0
2 years ago
A cylinder of diameter 100 mm rolls from restdown a 5 m long ramp and its center of mass is moving with velocity 2 m/s at the bo
RoseWind [281]

Answer:

(a): a = 0.4m/s²

(b): α = 8 radians/s²

Explanation:

First we propose an equation to determine the linear acceleration and an equation to determine the space traveled in the ramp (5m):

a= (Vf-Vi)/t = (2m/s)/t

a: linear acceleration.

Vf: speed at the end of the ramp.

Vi: speed at the beginning of the ramp (zero).

d= (1/2)×a×t² = 5m

d: distance of the ramp (5m).

We replace the first equation in the second to determine the travel time on the ramp:

d = 5m = (1/2)×( (2m/s)/t)×t² = (1m/s)×t ⇒ t = 5s

And the linear acceleration will be:

a = (2m/s)/5s = 0.4m/s²

Now we determine the perimeter of the cylinder to know the linear distance traveled on the ramp in a revolution:

perimeter = π×diameter = π×0.1m = 0.3142m

To determine the angular acceleration we divide the linear acceleration by the radius of the cylinder:

α = (0.4m/s²)/(0.05m) = 8 radians/s²

α: angular aceleration.

3 0
3 years ago
Other questions:
  • If the stone loses 10% of its speed in 10 s of grinding, what is the force with which the man presses the knife against the ston
    13·1 answer
  • Your science class decides to conduct an experiment to learn more about ice. You set one ice cube on the counter at room tempera
    14·2 answers
  • Lemaitre (based on Hubble's observations) was the first to suggest the _____.
    14·1 answer
  • A golf club hits a stationary 0.05kg golf ball with and average force of 5.0 x 10^3 newtons accelerating the ball at 44 meters p
    15·1 answer
  • If the plane travels at 600 km/h for 2 hours, how far has it traveled?
    15·1 answer
  • Does a front always mean one air mass will be displaced by another? When is there no displacement?
    8·1 answer
  • When the power in their house unexpectedly went off, Radhika's mother said that she would check and replace the fuse. What exact
    13·1 answer
  • Thunder and lightning may become connected in the mind because they often occur together. This is an example of which of the fol
    14·2 answers
  • Suppose you were to fill a balloon with air then let go of it withoutntying it closed. What causes the balloon to fly away?
    7·2 answers
  • During a race there are lots of forces that are exerted on a race car. One of these forces is friction.
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!