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
kkurt [141]
3 years ago
12

A motorcycle is following a car that is traveling at a constant speed on a straight highway. Initially, the car and the motorcyc

le are both traveling at the same speed of 23.0 m/s, and the distance between them is 58.0 m. After t1 = 5.00 s, the motorcycle starts to accelerate at a rate of 8.00 m/s^2.
(a) The motorcycle catches up with the car at some time t2. How long does it take from the moment when the motorcycle starts to accelerate until it catches up with the car? In other words, find t2−t1.
(b) How far does the motorcycle travel from the moment it starts to accelerate (at time t1) until it catches up with the car (at time t2)? Should you need to use an answer from a previous part, make sure you use the unrounded value.
Physics
1 answer:
Artist 52 [7]3 years ago
5 0

Answer:

(a) 3.807 s

(b) 145.581 m

Explanation:

Let Δt = t2 - t1 be the time it takes from the moment when the motorcycle starts to accelerate until it catches up with the car. We know that before the acceleration, both vehicles are travelling at a constant speed. So they would maintain a distance of 58 m prior to the acceleration.

The distance traveled by car after Δt (seconds) at v_c = 23m/s speed is

s_c = \Delta t v_c = 23\Delta t

The distance traveled by the motorcycle after Δt (seconds) at m_m = 23 m/s speed and acceleration of a = 8 m/s2 is

s_m = \Delta t v_m + a\Delta t^2/2

s_m = 23\Delta t + 8\Delta t^2/2 = 23 \Delta t + 4 \Delta t^2

We know that the motorcycle catches up to the car after Δt, so it must have covered the distance that the car travels, plus their initial distance:

s_m = s_c + 58

23 \Delta t + 4 \Delta t^2 = 23\Delta t + 58

4 \Delta t^2 = 58

\Delta t^2 = 14.5

\Delta t = \sqrt{14.5} = 3.807s

(b)

s_m = 23 \Delta t + 4 \Delta t^2

s_m = 23*3.807 + 58 = 145.581 m

You might be interested in
A gas exerts less pressure when it has a
Vika [28.1K]
The molecules are continually colliding with each other and with the walls of the container. When a molecule collides with the wall, they exert<span> small force on the wall The </span>pressure exerted<span> by the </span>gas<span> is due to the sum of all these collision forces.The more particles that hit the walls, the higher the </span>pressure<span>.</span>
4 0
3 years ago
Based on the mass and speed data, which object will have the greatest amount of kinetic energy
Alexus [3.1K]
The objects will have to be listed
5 0
2 years ago
Read 2 more answers
Help please!!!!!!!!!!!!!!!!!!!!
Pavel [41]
Looks like you need to review through the lesson and take notes as it tells you in the lesson what each of these are.
8 0
3 years ago
A child is standing on the platform of a station, watching the trains.
zaharov [31]
C. 90 m

30m per second... and it takes 3 seconds

3x30= 90
6 0
2 years ago
Read 2 more answers
A 30 ky child running at 7 m/s jumps onto a 10 kg sled which was initially at rest. What will be the
Ede4ka [16]
Hope this helps. If you need clarification just ask me!

7 0
3 years ago
Other questions:
  • 1.00 kg of copper and 1.00 kg of nickel are both heated continuously at the same
    11·1 answer
  • A hockey puck on a frozen pond is given an initial speed of 20.0 m/s. If the puck always remains on the ice and slides 115 m bef
    10·1 answer
  • Ken’s community is completely dependent on agriculture for their income. They cultivate and breed domestic species for their foo
    9·2 answers
  • If there were no air resistance, how long would it take a free-falling skydiver to fall from a plane at 3500 m to an altitude of
    15·1 answer
  • an incandescent lightbulb has an efficiency of 2.1% and a power of 60 w. how much light energy does the lighbulb produce in 1 se
    13·1 answer
  • Determine the orbits period of the moon when the distance between the earth and the moon is 3.82 x 10 to the power of 8
    9·1 answer
  • Tony walks at an average speed of 70 m/min from his home to
    5·1 answer
  • ANSWER QUICKLY PLEASE!<br>How do the masses of objects affect the gravitational force between them?
    7·2 answers
  • A baseball bat is a lever. Which of the following explains how a baseball bat differs from a lever like a pry bar?
    5·1 answer
  • How to find angular velocity of an object traveling at a constant speed.
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!