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
Kobotan [32]
3 years ago
7

A toy car starts from rest 0.650m from the edge of a table. The car accelerates at 2.50 m/s^2 until it leaves the table. The toy

car falls 1.10 m to the floor. a. How fast is the toy car going when it reaches the table edge? (ans: 3.25 m/s) b. Solve for the range of the toy car after it leaves the table. (ans: 1.54 m)

Physics
1 answer:
kolbaska11 [484]3 years ago
6 0

Answer:

a) The velocity of the toy car is 1.80 m/s when it reaches the edge of the table.

b) The range of the toy car is 0.853 m.

Explanation:

a) While the car is traveling in a straight line with constant acceleration the equation of the velocity and position will be:

v = v0 + a · t

x = x0 + v0 · t + 1/2 · a · t²

Where:

v = velocity at time "t".

v0 = initial velocity.

a = acceleration.

t = time.

x = position at time "t".

x0 = initial positon.

First, let´s find the time it takes the car to travel the distance of 0.650 m on the table (placing the origin of the frame of reference at the point where the car starts, x0 = 0):

x = x0 + v0 · t + 1/2 · a · t²

0.650 m = 0 m + 0 m/s · t + 1/2 · 2.50 m/s² · t²

2 · 0.650 m / 2.50 m/s² = t²

t = 0.721 s

Now, using the equation of the velocity, we can calculate the velocity when the car reaches the table edge:

v = v0 + a · t

v = 0 m/s + 2.50 m/s² · 0.721 s

v = 1.80 m/s

The velocity of the toy car is 1.80 m/s when it reaches the edge of the table.

b) Please, see the attached figure for a better understanding of the problem. The origin of the frame of reference is located at the edge of the table.

The position of the car while it is falling can be calculated using this equation:

r = (x0 + v0x · t, y0 + v0y · t + 1/2 · g · t²)

Where:

r = position vector at time "t".

x0 = initial horizontal position.

v0x = initial horizontal velocity.

t = time.

y0 = initial vertical position.

v0y = initial vertical velocity.

g = acceleration due to gravity (-9.8 m/s² considering the upward direction as positive).

When the car reaches the ground, the y-component of the position vector is -1.10 m (see "ry final" in the figure). Using that information, we can calculate the time it takes the car to reach the ground. With that time, we can calculate then the range:

y = y0 + v0y · t + 1/2 · g · t²

-1.10 m = 0 + 0 - 1/2 · 9.8 m/s² · t²        (why is v0y = 0? hint: see the direction of the vector velocity when the car reaches the edge of the table. In red in the figure).

-1.10 m / -1/2 · 9.8 m/s² = t²

t = 0.474 s

Now, using the equation of the x-component of the vector r, we can obtain the range:

x = x0 + v0x · t

x = 0 + 1.80 m/s · 0.474 s

x = 0.853 m

The range of the toy car is 0.853 m.

You might be interested in
Function do lappet which faced vultures serve in a temperate grassland
vfiekz [6]
Um this doesn't make since to me since you did not clearly state your awnser
7 0
3 years ago
Read 2 more answers
I. What is the initial velocity of the car?
qaws [65]

Answer:

I. 0 m/s

II. 20 m/s

III. Part BC

Explanation:

I. Determination of the initial velocity.

From the diagram given above,

The motion of the car starts from the origin. This implies that the car start from rest and as such, the initial velocity of the car is 0 m/s

II. Determination of the maximum velocity attained.

From the diagram given above, we can see clearly that the maximum velocity is 20 m/s.

III. Determination of the part of the graph that represents zero acceleration.

It important that we know the meaning of zero acceleration.

Zero acceleration simply means the car is not accelerating. This can only be true when the car is moving with a constant velocity.

From the graph given above, the car has a constant velocity between B and C.

Therefore, part BC illustrates zero acceleration.

6 0
3 years ago
A balloon-powered car rolls across the floor at a speed of 0.711 m/s. How long does it take to cover 8.25 m?
devlian [24]

Answer:

Time = 11.60 seconds.

Explanation:

Speed can be defined as distance covered per unit time. Speed is a scalar quantity and as such it has magnitude but no direction.

Mathematically, speed is given by the equation;

Speed = \frac{distance}{time}

Given the following data;

Speed = 0.711m/s

Distance = 8.25m

To find the time;

Making time the subject of formula, we have;

Time = \frac{distance}{speed}

Substituting into the equation, we have;

Time = \frac{8.25}{0.711}

Time = 11.60 secs.

5 0
3 years ago
Skid Marx set the world record for acceleration as he went from zero to 10 m/s in 3 seconds. How far did he travel in that time?
iren [92.7K]

Answer:

12000 miles per hour

Explanation:

If skid Marx went from zero to 10 miles in 3 seconds the his speed would have been 12000 miles per hour.

8 0
3 years ago
A cell is classified as eukaryotic if the cell
bezimeni [28]
Eukaryotic cells contain membrane-bound organelles, including a nucleus.Prokaryotic cells<span> do not contain a nucleus or any other membrane-bound organelle. i think thats the answer but  if im wrong im sorry</span>
5 0
3 years ago
Read 2 more answers
Other questions:
  • A driver of a car enters a new 110 km/h speed zone on the highway. The driver begins to accelerate immediately and reaches 110 k
    10·1 answer
  • Water ripples are produced by making a cork oscillate up and down at a frequency of 5 Hz. The peaks of the ripples are 0.03 mete
    13·1 answer
  • What is happening if energy input remains constant and voltage remains the same in a circuit, but the current decreases?
    9·1 answer
  • The experiments Galileo performed, such as rolling a ball down an inclined plane, are important because they
    13·1 answer
  • __________ is the gradual increase in the temperature of earth’s atmosphere. greenhouse effect air pollution global warming temp
    12·2 answers
  • Which statement is true regarding a chemical reaction?
    14·2 answers
  • Why can someone please help me out
    8·1 answer
  • If object A is half the mass of object B, then is it possible for them to have the same momentum
    9·1 answer
  • Which situation results in the least attraction between two magnets?
    14·1 answer
  • If
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!