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ollegr [7]
3 years ago
11

Calculate the distance traveled by a projectile as a function of launch angle. Compare the distances for two projectiles launche

d at the same initial velocity for two different launch angles. Discuss the case where the ranges are the same.
Physics
1 answer:
DaniilM [7]3 years ago
5 0

Answer:

R = x_{max} = \frac{v^2\sin(2\theta)}{g}\\\frac{R_1}{R_2} = \frac{\sin(2\theta_1}{\sin(2\theta_2}

Explanation:

Using kinematics equations:

\Delta x = v_{0x}t\\\Delta y = -\frac{1}{2}gt^2+v_{0y}t

Use \Delta y = 0 due to condition of distance traveled.

Solving second equation for time, there are two solutions. t=0 and

t=\frac{2v_{0y}}{g}

Use the expression in the first equation to have

R = \frac{2v^2 \cos\theta\sin\theta}{g}

Using trigonometric identities, you have the answer of the distance.

By doing the ratio for two different angles, you have the second answer. Due to sine function properties, the distances can be the same to complementary angles. Example, for 20° and 70°, the distance is the same.

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When a mass of 0.350 kg is attached to a vertical spring and lowered slowly, the spring stretches 12.0 cm. The mass is now displ
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Answer:

period of oscillations is 0.695 second

Explanation:

given data

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solution

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force = k × x   .........1

so force = mg =  0.35 (9.8)  = 3.43 N

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period of oscillations = 2π × \sqrt{\frac{0.35}{28.58} }  

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4 0
3 years ago
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8 0
2 years ago
A school bus takes 0.530 h to reach the school from your house. If the average velocity of the bus is 19.0 km/h to the east, wha
kifflom [539]

Answer:

x_{distance}=10.07km

Explanation:

Given data

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Displacement Δx

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