please solve immediately and send with proper steps
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I have don,t know
Explanation:
t=6578
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Explanation:
r = (4cos2t) i + (4sin2t) j + 6t k
diff wrt t
dr/dt = 4 x 2 (-sin2t) i + 4 x 2 cos2t j + 6 k
= - 8 sin2t i + 8 cos2t j + 6 k
Again diff w.r.t t
d²r/dt² = - 16 cos2t i - 16 sin2t j
acceleration a = d²r/dt² = - 16 cos2t i - 16 sin2t j
At t = π/4
a = -16 x cos π/2 i - 16 x sinπ/2 j
= 0 - 16 x 1 j
= - 16 j
- Magnitude of accln |a| = 16 m/s² (along negative y axis)
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