Question

x=10t^3+ 20t^2+ 30t - 40. find displacement, velocity , acceleration ? at t=1sec.​

Answer 1

At t=1sec

x=10t³+20t²+30t-40

at t=1

x=10+20+30-40

x=30-10

s=20m

Now We can Calculate speed

Speed=Distance /time

speed=20/1

v=20m/s

Now

by Differentiating The given Equation

dx/dt=10t³+20t²....

dt=10*3t²+20*2t+30

dt=30t²+40t+30

Now This is acceleration

so at t=1

acceleration will be

x=30+20+30

a=80m/s²