A stuntman drives a car off of a parking garage. The car lands 68.38 meters away from the base of the garage. If the stuntman drove the car at 19 m/s, how tall is the parking garage?

Respuesta :

Answer: 63.43 m

Explanation:

Given

Car lands 68.38 m away from the base of the garage

Stuntman drove the car with speed [tex]u=19\ m/s[/tex]

Since there is no acceleration in the horizontal direction, so there is no change in velocity

[tex]\Rightarrow 68.38=19\times t\\\Rightarrow t=3.598\ s[/tex]

time taken to cover 68.38 m is 3.598 s

In this time car travels a vertical distance of h

Such that we can write

[tex]\Rightarrow h=u_vt+\frac{1}{2}at^2\\\\\Rightarrow h=\frac{1}{2}gt^2\\\\\Rightarrow h=0.5\times 9.8\times (3.598)^2=63.43\ m[/tex]

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