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
Describe what a convection current is in how it was material than the earth
Leona [35]
The movement of fluid as a result of differential heating or convection. Earth convection currents refer to the motion of molten rock in the mantle as radioactive decay heats up magma, causing it to rise and driving the global scale flow of magma.
3 0
3 years ago
Why would a positive current flow from the positive end of a wire towards its negative end?
irinina [24]

because positive and negative attract

5 0
3 years ago
Why are wheels and steam engine important in the history of transport​
STALIN [3.7K]

Explanation:

Because it's a power to turn the wheels of industry

5 0
3 years ago
A train travels 120 km in 2 hours and 30 minutes. What is its average speed?
ivann1987 [24]

Answer:

13.33 or 13 1/3m/s (meters per second)

Explanation:

In physics, we use the basic units of meters and seconds. So first convert (km) into meters (m) and also hours and minutes into seconds (s). We end up with 120000m and 9000s. Then divide the 120000m by the 9000s and you end up with 13.33 or 13 1/3 m/s.

5 0
3 years ago
Read 2 more answers
Your body also transforms what energy
natita [175]
Chemical energy is transformed in your body
4 0
3 years ago
Other questions:
  • The planets in the solar system are believed to have formed as a result of a process known as
    14·1 answer
  • Apr 22, 1:11:18 PM
    8·2 answers
  • PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!
    7·1 answer
  • The point beneath surface where rock breaks and an arthquake is produced is known as the
    15·1 answer
  • At the particle level, the weakest of the fundamental forces is:
    9·2 answers
  • if you toss a stick into the air, it appears to wobble all over the place. Specifically, about what place does it wobble?
    14·1 answer
  • Lesson Question (On Edge): What is the cell cycle?
    15·2 answers
  • Relative to a stationary observer, a moving clock Group of answer choices can do any of the above. It depends on the relative en
    6·1 answer
  • Which of the following quantities are unknown? initial separation of the particles final separation of the particles initial spe
    15·1 answer
  • When are Waves produced​
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!