Physics, 31.12.2019 05:31 Dwoods4515

Tom standing on the roof of a tall building of 60m height throws a ball at angle of 45⁰ .the velocity of the ball is 12 m/s when it leaves tom’s hand.

calculate the following:

a-initial velocity in x, and y direction

b- time to reach to its maximum height.

c-maximum height of the ball with respect to the ground.

d- final velocity –magnitude.

e- velocity of the ball at maximum height.

f- acceleration of the ball at maximum height.

g- total time in the air.

h- distance between the landing spot and the base of the building.

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Answer from: 083055

a) $v_{y}$ = 8.485 m / s , vₓ = 8.485 m / s, b) t = 0.866 s , c) y = 63.67 m , d) vₓ = 8.485 m / s , $v_{y}$ = -8.485 m / s, e) v = vₓ = 8.485 m / s , f) $a_{y}$ = -g = -9.8 m / s², g) t₁ = 4.93 s , h) x = 41.83 m

Explanation:

This is a projectile launch exercise

a) let's use trigonometry to find the components of velocity

sin 45 = $v_{y}$ / v

cos 45 = vₓ / v

$v_{y}$ = v sin 45

vₓ = v cos 45

$v_{y}$ = 12 sin 45

vₓ = 12 cos 45

$v_{y}$ = 8.485 m / s

vₓ = 8.485 m / s

b) At the point of maximum height, the vertical speed (vy) is zero

$v_{y}$ = $v_{oy}$ - g t

t = $v_{oy}$ / g

t = 8.485 /9.8

t = 0.866 s

c) the vertical speed is zero

$v_{y}$ ² = $v_{oy}$ ² - 2 g (y-y₀)

y-y₀ = $v_{oy}$ ² / 2g

y = 8.485² / (2 9.8) + 60

y = 63.67 m

d) the final speed when it reaches mass height is the same output speed, but with the component and negative

vₓ = 8.485 m / s

$v_{y}$ = -8.485 m / s

e) At the point of maximum height the vertical speed is zero

v = vₓ = 8.485 m / s

f) The acceleration of the ball depends on the Earth and vouchers

$a_{y}$ = -g = -9.8 m / s²

On the x axis there is no acceleration

g) the total time this is to the point y = 0

y-y₀ = $v_{o}$ t - ½ g t²

replace

0-60 = 12 t - ½ 9.8 t²

4.9 t² - 12 t - 60 = 0

t² - 2.45 t - 12.25 = 0

We solve the second degree equation

t = [2.45 + - √ 2.45² - 4 (-12.25)] / 2

t = [2.45 + - √ (6.00 +49)] = (2.45 + - 7.416) / 2

We have two results.

t₁ = 4.93 s

t₂ = -2.48 s

Since time cannot be negative, the correct result is t₁ = 4.93 s

h) the horizontal distance is

x = vₓ t

x = 8.485 4.93

x = 41.83 m

Answer from: Quest

Your answer is c. explanation: plasma is the fourth state of matter, derived from the gaseous state of matter. plasma can contain free electrons and/or ions. while plasma is never neutral, it can either be positively or negatively charged. gases, however, are electrically neutral.

Answer from: Quest

No because a circle or pie graph usually shows percentages you'd need a line graph

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Tom standing on the roof of a tall building of 60m height throws a ball at angle of 45⁰ .the velocit...

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