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
IRISSAK [1]
2 years ago
14

If the range of a projectile's trajectory is six times larger than the height of the trajectory, then what was the angle of laun

ch with respect to the horizontal? (Assume a flat and horizontal landscape.)
Physics
1 answer:
zvonat [6]2 years ago
3 0

Answer:

H = 1/2 g t^2    where t is time to fall a height H

H = 1/8 g T^2   where T is total time in air  (2 t  = T)

R = V T cos θ       horizontal range

3/4 g T^2 = V T cos θ       6 H = R    given in problem

cos θ = 3 g T / (4 V)           (I)

Now t = V sin θ / g     time for projectile to fall from max height

T = 2 V sin θ / g

T / V = 2 sin θ / g

cos θ = 3 g / 4 (T / V)     from (I)

cos θ = 3 g / 4 * 2 sin V / g = 6 / 4 sin θ

tan θ = 2/3      

θ = 33.7 deg

As a check- let V = 100 m/s

Vx = 100 cos 33.7 = 83,2

Vy = 100 sin 33,7 = 55.5

T = 2 * 55.5 / 9.8 = 11.3 sec

H = 1/2 * 9.8 * (11.3 / 2)^2 = 156

R = 83.2 * 11.3 = 932

R / H = 932 / 156 = 5.97        6 within rounding

You might be interested in
A 5.0 kg object moving at 5.0 m/s. KE = mv2 times 1/2
steposvetlana [31]

Answer: KE = 62.5J

Explanation:

Given that

Mass of object = 5kg

kinetic energy KE = ?

velocity of object = 5m/s

Since kinetic energy is the energy possessed by a moving object, and it depends on the mass (m) of the object and the velocity (v) by which it moves. Therefore, the object has kinetic energy.

i.e K.E = 1/2mv^2

KE = 1/2 x 5kg x (5m/s)^2

KE = 0.5 x 5 x 25

KE = 62.5J

Thus, the object has 62.5 joules of kinetic energy.

5 0
3 years ago
_____ is the horizontal change between two points on the line.
sattari [20]
The horizontal change between two points on a graph is called the 'run'.

The vertical change between two points is called the 'rise'.
6 0
3 years ago
Read 2 more answers
A wave is a _____ that transmits energy
galben [10]

Answer is disturbance

3 0
3 years ago
Read 2 more answers
How long can a person dribble a ball when being closely guarded by a
Katena32 [7]

Answer:

four seconds

Explanation:

A player who catches the ball and is being closely guarded may hold the ball for four seconds, then dribble the ball for four seconds, then hold the ball for another four seconds, then pass, will not be in violation of this rule.

7 0
3 years ago
male lions and human sprinters can both accelerate at about 10.0 m/s2. if a typical lion weighs 170 kg and a typical sprinter we
Rasek [7]

The difference in the force exerted by the ground during a race between these two species is 259.25

<h3>What is force?</h3>

Forces are influences that can change the movement of an object. A force can change the velocity of an object with mass, i.e. accelerate it. Forces can also be described intuitively by pushing or pulling. A force has both magnitude and direction and is a vector quantity.

Force exerted by the lion:

Normal force = mg

170 = m × 9.8

m = 17.34 kg

Forward force = ma

= 17.34 × 10.0

= 173.4 N

Total force = Normal force + Forward force

Total force = 170 + 173.4

= 343.4 N

Force exerted by the man:

Normal force = mg

75 = m × 9.8

m = 7.65 kg

Forward force = ma

= 7.65 × 10.0

= 76.5 N

Total force = Normal force + Forward force

Total force = 7.65 + 76.5

= 84.15 N

The difference in the forces exerted by these species is:

343.4 N - 76.5 N = 259.25 N

To know more about force visit:

brainly.com/question/19734564

#SPJ4

3 0
1 year ago
Other questions:
  • Compared to the density of liquid water, the density of an ice cube is
    8·2 answers
  • If a car moving down this road rounds this curve and changes its direction to the right, is this an example of speed, velocity,
    15·2 answers
  • What happens when you brake earphones in to smaller and smaller pieces
    12·1 answer
  • Electromagnetic force is present when electromagnetic fields
    6·2 answers
  • A closed system contains 30g of gas. How much heat(in joules) is added to or rejected by the system to produce 5000 N-m of work
    15·1 answer
  • A window washer who does not want to change his position will want the forces acting on him to be ____________.
    7·1 answer
  • Which main characteristics describe weather
    13·2 answers
  • I will give brainliest if you sub and stay subbed to JD Outdoors &amp; Gaming​
    9·1 answer
  • The data points you have taken on your lab graphs roughly form a straight line. How do you interpret the slope of this line?
    12·2 answers
  • Lab: newton's laws of motion assignment: lab report
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!