Physics, 20.01.2020 06:31 Angelanova69134

In a scene in an action movie, a stuntman jumps from the top of one
building to the top of another building 4.0 m away. after a running start,
he leaps at a velocity of 5.0 m/s at an angle of 15° with respect to the flat
roof. will he make it to the other roof, which is 2.5 m lower than the
building he jumps from?

Answers: 3

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Answer from: howey74

Yes, the stuntman can jump from one building to the other building.

Further explanation:

The stuntman jump from one building inclined at some angle to the other traversing a parabolic path.

Given:

The velocity of stuntman is 5m/s.

The distance between the buildings is 4m.

The difference in the height of the buildings is 2.5m.

The angle of inclination is ${15^ \circ }$ .

Concept used:

When stuntman jumps from the top of one building to the top of other building he start running first then he jump at a velocity of 5m/s inclined at an angle of ${15^ \circ }$ from the horizontal of first building.

The velocity of stuntman has two components ${v_x}$ and ${v_y}$ , respectively in the X-direction and in the Y-direction.

The expression for the distance in horizontal direction is given as.

$x = \left( {v\cos \theta } \right)t$

Rearrange the above expression for time.

$t = \dfrac{x}{{\left( {v\cos \theta } \right)}}$ …… (1)

Here, t is the time of flight, v is the velocity of object and $\theta$ is the angle of inclination.

The expression for the distance in Y-direction is given by the second equation of motion.

$y = ut + \frac{1}{2}\left( { - g} \right){t^2}$

Here, u is the velocity in Y-direction and (–g) is the acceleration due to gravity directed in the downward direction.

The expression for the component of velocity in Y-direction is given as.

$u = v\sin \theta$

Substitute $v\sin\theta$ for u in the above expression.

$y = \left( {v\sin \theta } \right)t + \frac{1}{2}\left( { - g} \right){t^2}$ …… (2)

Substitute 5m/s for v, 4m for x and ${15^ \circ }$ for in equation (1).

$\begin{aligned}t&=\frac{{4\,{\text{m}}}}{{\left({\left( {5\,{\text{m/s}}}\right)\left( {\cos {{15}^ \circ }}\right)}\right)}}\\&=0.828\,{\text{s}}\\\end{aligned}$

Substitute $0.828\,{\text{s}}$ for t, 5m/s for v, $9.8\,{\text{m/}}{{\text{s}}^{\text{2}}}$ for g and ${15^ \circ }$ for $\theta$ in equation (2).

$\begin{aligned}y&=\left( {\left( {5\,{\text{m/s}}} \right)\sin \left( {{{15}^ \circ }} \right)} \right)\left( {0.828\,{\text{s}}} \right) + \frac{1}{2}\left( { - 9.8\,{\text{m/}}{{\text{s}}^{\text{2}}}} \right){\left( {0.828\,{\text{s}}} \right)^2}\\&=1.071 - 3.36 \\&=- 2.29\,{\text{m}}\\\end{aligned}$

Thus, the stuntman can jump from one building to another because its vertical distance is less than the difference in height of buildings.

Learn more:

1. Motion under force link.

2. Projection of ball link.

3. Conservation of momentum link.

Answer Details:

Grade: High School

Subject: Physics

Chapter: Kinematics

Keywords:

Force, motion, parabolic path, acceleration due to gravity, time of flight, angle of inclination, inclined plane, buildings, height difference, cliff, horizontal direction, vertical direction, 2.29 m, 2.3m, 0.828sec.

Answer from: Quest

d₁ = displacement of tern from arctic to antarctic = 11000 miles

d₂ = displacement of tern from antarctic to arctic = - 11000 miles

d = total displacement for the journey

total displacement for the journey is given as

d = d₁ + d₂

d = 11000 + (-11000)

d = 0 miles

t₁ = time of travel from arctic to antarctic = 3 months = 3 x 30 days = 90 days

t₂ = time of travel from antarctic to arctic = 3 months = 3 x 30 days = 90 days

t = total time of travel

total time of travel is given as

t = t₁ + t₂

t = 90 + 90

t = 180 days

average velocity is given as

average velocity = total displacement/ total time

v = d/t

v = 0/180

v = 0 miles/day

Answer from: Quest

The radiation of the fire causes the saucepan to heat up. the conduction of the saucepan then to distribute the heat over the saucepan and to give heat to the water. the convection of the water distributing the heat within the water, till all the water is boiling

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In a scene in an action movie, a stuntman jumps from the top of one
building to the top of ano...

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