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
tensa zangetsu [6.8K]
3 years ago
13

A woman on a motorcycle moving uniformly at a rate of 20 m/s passes a truck at rest. At the instant the motorcycle passes the tr

uck, the truck begins to accelerate at the rate of 5 m/s . (A) How long does it take the truck to catch up to the motorcycle? (B) How far has the motorcycle traveled? (C) What is the truck's speed at this point?
Physics
1 answer:
wlad13 [49]3 years ago
6 0

Answer:

A) It takes the truck 8 s to catch the motorcycle.

B) The motorcycle has traveled 160 m in that time.

C) The velocity of the truck is 40 m/s at that time.

Explanation:

The equations of the position and velocity of an object moving in a straight line are as follows:

x = x0 +v0 · t + 1/2 · a · t²

v = v0 + a · t

Where:

x = position

x0 = initial position

v0 = initial velocity

t = time

a = acceleration

v = velocity at time t

(A) When the the truck catches the motorcycle, both have the same position. Notice that the motorcycle moves at constant speed so that a = 0:

x truck = x motorcycle

x0 +v0 · t + 1/2 · a · t² = x0 + v · t

Placing the origin of the frame of reference at the point where the truck starts, both have an initial position of 0. The initial velocity of the truck is 0. Then:

1/2 · a · t² = v · t

solving for t:

t = 2 v/a

t = 2 · 20 m/s/ 5 m/s²

t = 8 s

It takes the truck 8 s to catch the motorcycle.

(B) Using the equation of the position of the motorcycle, we can calculate the traveled distance in 8 s.

x = v · t

x = 20 m/s · 8 s

x = 160 m

(C) Now, we use the velocity equation at time 8 s.

v = v0 + a · t

v = 0 m/s + 5 m/s² · 8 s

v = 40 m/s

You might be interested in
Need Help Please and Thank You). Question 1: Explain how longitudinal waves and transverse waves are similar to each other and d
natulia [17]

1) The longitudinal waves move in parallel direction to the source of vibration. The transverse waves move in perpendicular direction to the source of vibration . They are similar in the sense that energy is transferred in the form of waves.

2) Reflection occurs when waves bounce from a surface back toward the source. Refraction is when waves are deflected when the waves go through a substance.

3) The Law of Conservation of Energy

states that energy can neither be created

nor destroyed, it can only be transferred or

changed from one form to another.

7 0
3 years ago
3.
Alborosie

Answer:

C

Explanation:

Acceleration is defined as a change in velocity over time. This means that as long as the forces are not zero, the velocity should be changing. The can be negative (as this is negative acceleration also known as deceleration) or positive (known as acceleration). It doesn't matter if they are decimals or fractions.

4 0
4 years ago
Read 2 more answers
Please help me:)
Alenkinab [10]

Answer:

The correct option is;

Sphere I is positively charged and sphere II is negatively charged

Explanation:

The charging of the spheres by induction is achieved by introducing a charge to the metal spheres that are insulated from the ground to prevent loss of charge by placing them on insulating stand

The two spheres are brought into contact by the connection of a conducting wire between the spheres I and II

The presence of the positively charged sphere III draws attracts electrons towards sphere II while the net positive charge moves towards sphere I

While the spheres I and II are still polarized, the conducting wire is removed  while the presence of sphere III continues to keep sphere II negative compared to sphere I

After removing the connecting wire, sphere III is removed leaving the excess negative charge on sphere II and the excess positive charge on sphere I

The net charges then evenly redistribute themselves on each sphere creating two oppositely charged spheres.

8 0
3 years ago
Starting at 9a.m., you ride your hover board for 3hrs at an average speed of 6 mph. Out of breath, you stop for tea from noon un
Elena-2011 [213]
3 times 6= 18. The average speed is 19 mph.

hope this helps!
6 0
2 years ago
What is found in both plant and animal cells but is much larger in plant cells
djverab [1.8K]
The vacuoles because the plant's central vacuole is bigger.
3 0
3 years ago
Read 2 more answers
Other questions:
  • If the 140 g ball is moving horizontally at 25 m/s , and the catch is made when the ballplayer is at the highest point of his le
    6·1 answer
  • Double Question, 20 points and brainlyest if possible
    7·1 answer
  • Light-rail systems have been tried all over the country, and they've failed. Although the people who support them have noble int
    11·2 answers
  • The current density inside a long, solid, cylindrical wire of radius a = 5.0 mm is in the direction of the central axis and its
    11·1 answer
  • What is the average speed in miles per hour of the car that traveled a total of 200 miles in 5.5 hours
    13·2 answers
  • It takes about 7000 years for light from the eagle nebula to reach us on earth. using this information, and the speed of light g
    9·1 answer
  • An insulating plastic rod is charged by rubbing it with a wool cloth, and then brought to an initially neutral conducting metall
    15·1 answer
  • Julie carries an 8.0-kg suitcase as she walks 18 m along an inclined walkway to her hotel room at a constant speed of 1.5 m/s. T
    15·2 answers
  • What's a definition of caught​
    7·1 answer
  • The 600-N ball shown is suspended on a string AB and rests against the frictionless vertical wall. The string makes an angle of
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!