A metal sphere is launched with an initial velocity of 1.5 m/s as it leaves the ramp. the end of the ramp is 1.20 m above the floor. calculate the range of the sphere.

Question

Physics

Clayton Hardy

15 August, 16:42

A metal sphere is launched with an initial velocity of 1.5 m/s as it leaves the ramp. the end of the ramp is 1.20 m above the floor. calculate the range of the sphere.

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Fernando · Answer 1

First, calculate the time it requires for the ball to reach the ground, given that its y-component is similar to that of the free-falling body through the equation,

d = 0.5gt²

Substituting the known values,

1.2 = 0.5 (9.8 m/s²) (t²)

The value of t is equal to 1.56 seconds.

To calculate for the range of the given motion, we use the equation,

R = (Hx) t

where R is the range, Hx is the horizontal component of the force, and t is the time. Substituting,

R = (1.5 m/s) (1.56 s)

R = 2.34 m

Answer: 2.34 m