A particle of mass m is projected in a uniform gravitational field. The initial conditions at time t = 0 are ro =0 and Vo = u = (u1, uz, Uz). (1) (a) Determine the trajectory r(t) in terms ofu and g (the gravitational acceleration), and show that it is a parabola. (b) Determine the range of the projectile on a horizontal plane, and its maximum height above the plane (in terms of the u, and g). Hence, determine the maximum range.
A particle of mass m is projected in a uniform gravitational field. The initial conditions at time t = 0 are ro =0 and Vo = u = (u1, uz, Uz). (1) (a) Determine the trajectory r(t) in terms ofu and g (the gravitational acceleration), and show that it is a parabola. (b) Determine the range of the projectile on a horizontal plane, and its maximum height above the plane (in terms of the u, and g). Hence, determine the maximum range.
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Transcribed Image Text:A particle of mass m is projected in a uniform gravitational field. The initial conditions
at time t = 0 are
ro = 0 and v, = u = (u,, U2, uz).
(1)
(a) Determine the trajectory r(t) in terms of u and g (the gravitational acceleration),
and show that it is a parabola.
(b) Determine the range of the projectile on a horizontal plane, and its maximum
height above the plane (in terms of the u, and g). Hence, determine the maximum
range.
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