Answer:
[tex]v = -32 t[/tex]
Explanation:
given,
s = 400- 16 t²
we know,
Velocity of an object is defined as the change in displacement per unit change in time.
velocity an also be return as
[tex]v = \dfrac{ds}{dt}[/tex]
[tex]v = \dfrac{d}{dt}(400-16t^2)[/tex]
[tex]v= 0 -2\times 16 t[/tex]
[tex]v = -32 t[/tex]
Hence, instantaneous velocity function given by [tex]v = -32 t[/tex]
To calculate instantaneous velocity, you need to insert value of time.
ex, instantaneous velocity at t = 4 s
v = -32 x 4 = -128 m/s.
