Projectile A is launched horizontally at a speed of 20. Meters per second from the top of a cliff and strikes a level surface below, 3.0 seconds later. Projectile B is launched horizontally from the same location at a speed of 30. Meters per second. Approximately how high is the cliff?

Answers

Answer 1
Answer:

Answer:

The height of the cliff is 44.1\;\rm{m.

Explanation:

Given: ProjectileA is launched horizontally at a speed of20Meters per second from the top of a cliff and strikes a level surface below, 3.0 seconds later. Projectile B is launched horizontally from the same location at a speed of30 meter per second.

Using the formula of motion: S=ut+(1)/(2)at^2

Substiuting all the values: u=0\;\rm{ms^(-1), a=9.8\;\rm{ms^(-2)\;\& \;t=3.0\; seconds

Let h be the height of the cliff.

h=0*3+0.5*(9.8)*3^2\nh=44.1\;\rm{m

Hence, height of the cliff is 44.1\;\rm{m.

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Answer 2
Answer:

consider the motion of projectile A in vertical direction :

v₀ = initial velocity of projectile A in vertical direction = 0 m/s         (since the projectile was launched horizontally)

a = acceleration of the projectile = g = acceleration due to gravity = 9.8 m/s²

t = time of travel for projectile A = 3.0 seconds

Y = vertical displacement of projectile A = height of the cliff = h = ?

using the kinematics equation along the vertical direction as

Y = v₀ t + (0.5) a t²

h = (0) (3.0) + (0.5) (9.8) (3.0)²

h = 44.1 m


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Answers

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Explanation:

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