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Julli [10]
2 years ago
8

A ball is thrown up into the air with the initial velocity of 18 m/s. A) How high does the ball go? B) Calculate the time needed

for the ball to reach its max height.
Physics
1 answer:
mr_godi [17]2 years ago
4 0

Answer:

(a) h = 16.53 m (b) t = 1.83 s

Explanation:

Given that,

The initial velocity of a ball, u = 18 m/s

When it reaches to the maximum height, its final velocity v will be 0. Let it goes to a maximum height of h meters.

Finding t using first equation of motion as follows :

v = u +at

Here, a = -g and v = 0

t=\dfrac{u}{g}\\\\t=\dfrac{18}{9.8}\\\\t=1.83\ s

The time needed for the ball to reach its max height is 1.83 s.

Let h is the maximum height. Using second equation of motion to find it :

h=ut-\dfrac{1}{2}gt^2\\\\h=18(1.83)-\dfrac{1}{2}\times 9.8\times (1.83)^2\\\\h=16.53\ m

So, it will go to a maximum height of 16.53 m.

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