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A car drives horizontally off a cliff at a speed of 35 m/s. the cliff is 100-m tall. how far will the car go before it hits the ground?
ADD EXPLANATION PLEASE

Respuesta :

Answer:

x = 157.85 m

Explanation:

Given that,

Speed of car in horizontal direction, v = 35 m/s

Height of the cliff is 100 m

Let t is the time taken by the car to hit the ground. It can be calculated using second equation of motion which is :

[tex]s=ut+\dfrac{1}{2}at^2[/tex]

Here, u = 0 and a = g

[tex]s=\dfrac{1}{2}gt^2\\\\t=\sqrt{\dfrac{2s}{g}} \\\\t=\sqrt{\dfrac{2(100)}{9.8}} \\\\t=4.51\ s[/tex]

Let x is the distance. So,

[tex]x=vt\\\\x=35\ m/s\times 4.51\ s\\\\x=157.85\ m[/tex]

So, it will cover a distance of 157.85 m.