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Differentiate w.r.t. t
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\frac{\mathrm{d}}{\mathrm{d}t}(-4.9t^{2})
Divide 9.8t^{2} by 2 to get 4.9t^{2}.
2\left(-4.9\right)t^{2-1}
The derivative of ax^{n} is nax^{n-1}.
-9.8t^{2-1}
Multiply 2 times -4.9.
-9.8t^{1}
Subtract 1 from 2.
-9.8t
For any term t, t^{1}=t.
-4.9t^{2}
Divide 9.8t^{2} by 2 to get 4.9t^{2}.