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
vlada-n [284]
2 years ago
12

Two children are throwing a ball back-and-forth straight across the back seat of a car. The ball is being thrown 7 mph relative

to the car, and the car is travelling 45 mph down the road. If one child doesn't catch the ball and it flies out the window, in what direction does the ball fly (ignoring wind resistance)
Physics
1 answer:
Evgesh-ka [11]2 years ago
4 0

Answer:

the ball will fly in AX direction, making angle of 8.84° from the motion of the car

Explanation:

Given the data in the question and as illustrated in the diagram below;

Now, Lets assume line AB represent the movement of the car,

AC is the movement of the ball been thrown back and forth in the back seat

Ax is the motion of the ball it flies off the window

so from the diagram, We can see triangle ABC

where AB is 45 mph and AC = 7 mph

and angle ∠CAB = 90°

using SOH CAH TOA

TOA; tanθ = Opposite / Adjacent

tanθ = Opposite / Adjacent

tan( ∠ ABC ) = AC /  AB

we substitute

tan( ∠ ABC ) = 7 /  45

tan( ∠ ABC ) = 0.15555

( ∠ ABC ) = tan⁻¹ 0.15555

( ∠ ABC ) = 8.84°

Therefor, angle ( ∠ ABC )  is 8.84°

Meaning angle ( ∠ XAA' ) is also 8.84°

Therefore, the ball will fly in AX direction, making angle of 8.84° from the motion of the car

You might be interested in
What is one standard kilogramun si system<br><br><br><br><br>​
Phoenix [80]

Answer:

The kilogram (kg) is defined by taking the fixed numerical value of the Planck constant h to be 6.62607015 ×10−34 when expressed in the unit J s, which is equal to kg m2 s−1, where the meter and the second are defined in terms of c and ∆νCs.

3 0
3 years ago
Read 2 more answers
10 PTS! HELP!
wolverine [178]
Mechanical energy
I think
5 0
3 years ago
A force of 42N is needed to start a box sliding across the floor. The weight of the box is 55N.
Bezzdna [24]
I think the right answer is c
4 0
3 years ago
Read 2 more answers
The tactile system is actually made up of two distinct skin senses.
Ludmilka [50]

The tactile system is actually made up of two distinct skin senses; protective and the discriminative system. The function of the protective system is to alert us to harmful stimuli. The receptors of the system are the hairs of our skin, head and genitals. The discriminative system is to show us what we are touching, where on our bodies is touching us and what are touching us. The receptors for his system are the hands, fingers, soles of feet and mouth and tongue.

8 0
2 years ago
Read 2 more answers
A ball is dropped from a height of 20m and renounce with the velocity which is 3/4 of d velocity with which it hits the ground.
Mashutka [201]

Answer:

1.73 seconds

Explanation:

The velocity the ball first hits the ground with is:

v² = v₀² + 2aΔx

v² = (0 m/s)² + 2 (-10 m/s²) (-20 m)

v = -20 m/s

The velocity it rebounds with is 3/4 of that in the opposite direction, or 15 m/s.

The time it takes to return to the ground is:

Δx = v₀ t + ½ at²

0 = (15 m/s) t + ½ (-10 m/s²) t²

0 = t (15 − 5t²)

t = √3

t ≈ 1.73 seconds

3 0
3 years ago
Other questions:
  • Investigators are researching the appearance of a strange movement of objects in what the local community considers a haunted ho
    11·1 answer
  • A rocket carrying a satellite is accelerating straight up from the earth’s surface. At 1.15 s after liftoff, the rocket clears t
    12·1 answer
  • It's most critical that you'll be critical of Howard Gardner's seven intelligences if you
    14·1 answer
  • You are going to speak to a group of your peers on the dangers of drinking and driving. As you prepare your talk, you need to co
    7·1 answer
  • An undamped spring-mass system contains a mass that weighs and a spring with spring constant . It is suddenly set in motion at b
    6·1 answer
  • Chung is a scientist who invented a new material that absorbs water in a cup so that the water does not drip when the cup is tur
    11·2 answers
  • WILL AWARD BRAINLLIEST!!!!
    8·2 answers
  • A 3250 N car is pushed a distance of 35 m the power was 11375 J, how long did it take?
    11·1 answer
  • A rock is dropped from a height of 2.7m. How fast is it going when it hits the ground?
    14·1 answer
  • What are the equivalent celsius and kelvin temperatures of -128 f?
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!