an arrow is shot horizontally from a height of 4.9m above the ground. the initial speed of the arrow is 45 m/s. neglecting friction: a) how long will it take the arrow to hit the ground? b. how far does the arrow go?

Respuesta :

The time taken by the error to hit the ground is 1 second and the arrow goes to a distance of 45 m.

The height of the arrow is 4.9 metre above the ground and the initial speed of the arrow is 45m/s.

The path of the arrow will be a projectile.

a) The time of flight of the arrow to hit the ground is given by,

T = √(2H/g)

H is the height of the arrow,

g is the acceleration due to gravity.

Now, putting all the values,

T = √(2×4.9/9.8)

T = 1 seconds.

The arrow will take one second to hit the ground.

b) The horizontal range of the projectile for the arrow is given by,

R = UT

U is the initial speed,

T is the time of flight.

Putting values,

R = 45 × 1

R = 45 meters

So, the arrows goes till a distance of 45 meters.

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