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Sergeeva-Olga [200]
4 years ago
9

Can someone please tell me how to solve these question below.

Physics
1 answer:
erma4kov [3.2K]4 years ago
6 0

Answer:

Vertical position of the rock after 2 seconds = 11.46 m

Horizontal position of the rock after 2 seconds = 13.06 m

Explanation:

Initial height = 25 m

Angle of throw = 25 degrees

Velocity of throw = 7.2 m/s

Horizontal velocity of throw = 7.2 cos 25 = 6.53 m/s

Vertical velocity of throw = 7.2 sin 25 = 3.04 m/s

Acceleration in horizontal direction = 0 m/s²

Acceleration in vertical direction = -9.8 m/s²

<u>Vertical position of the rock at t = 2 seconds</u>

We have equation of motion s = ut + 0.5at²

                                     s = 3.04 x 2 - 0.5 x 9.81 x 2²

                                     s = -13.54 m

Vertical position = 25 - 13.54 = 11.46 m

<u>Horizontal position of the rock at t = 2 seconds</u>

We have equation of motion s = ut + 0.5at²

                                     s = 6.53 x 2 + 0.5 x 0 x 2²

                                     s = 13.06 m

Horizontal position = 13.06 m

Vertical position of the rock after 2 seconds = 11.46 m

Horizontal position of the rock after 2 seconds = 13.06 m

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Yo = 0
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2) Questions: V at Y = 3m and X at Y = 3 m

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Voy = Vo * sin(37°) = 12.04 m/s

4) Formulas

Vx = constant = 15.97 m/s

X = Vx * t

Vy = Voy - g*t

Y = Yo + Voy * t - g (t^2) / 2

5) Calculate t when Y = 3m (first time)

Use g ≈ 9.8 m/s^2

3 = 12.04 * t - 4.9 t^2

=> 4.9 t^2 - 12.04t + 3 = 0

Use the quadratic equation to solve the equation

=> t = 0.28 s and t = 2.18s

First time => t = 0.28 s.

6) Calculate Vy when t = 0.28 s

Vy = 12.04 m/s  - 9.8 * 0.28s = 9.3 m/s

7) Calculate V:

V = √ [ (Vx)^2 + (Vy)^2 ] = √[ (15.97m/s)^2 + (9.30 m/s)^2 ] = 18.48 m/s

tan(β) = Vy/Vx = 9.30 / 15.97 ≈ 0.582 => β ≈ arctan(0.582) ≈ 30°

Answer: V ≈ 18.5 m/s, with angle ≈ 30°

8) Calculate X at t = 0.28s

X = Vx * t = 15.97 m/s * 0.28s = 4,47m ≈ 4,5m

Answer: X ≈ 4,5 m
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