Question

the velocity of a particle is given by v(t) = 20t²-100t+50t. a, when will the acceleration of a particle is zero. b, what is the velocity of the particle when it's acceleration is zero. ​

Answer 1

Answer:V(t)=20t^2-100t+50t

as we know accl means derivatives of velocity.

a/q,

dv/dt =0

dv/dt=20t^2-100t+50t=0

dv/dt=4t-100+50=0

=>40t-50=0

=>40t=50

=>t=1.25

therfore Vs= 20t^2-100t+50t

Vs=20(1.25625)-125+62.5

Vs=31.25-125+62.5

Vs=-31.25