Question

differentiate the equation Y is equal to UT plus half g t square with respect to time

Answer 1

Answer :

Given that,

y = ut + 1/2 (gt²) ...(i)

Now, differentiating with respect to t, we get

dy/dt = d/dt {ut + 1/2 (gt²)}

= d/dt (ut) + d/dt {1/2 (gt²)}

= u d/dt (t) + g/2 d/dt (t²)

= u (1) + g/2 (2t)

= u + gt

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