Math, asked by beverlyevershed300, 1 year ago

The displacement (in metre) of a particle moving along x-axis is given by x = 18t + 5t2 : calculate (i) the instantaneous velocity at t=4 sec (ii) average velocity between t=4 sec and t=5sec. (iii) instantaneous acceleration.

Answers

Answered by nms
140
instantaneous velocity v= dx/dt=18+10t
at t=4
v = 18+10×4=58 m/s
a= dv/dt =10 m/ s sq.
at t=5 v= 18+10×5=68 m/s
so avg velocity = (68-58)/5-4=10 m/s
pls mark it as brainliest.
Answered by Hannah10301
94
Hey there!

Find out ur answer below!

1.)ds/dt = d/dt * (18t +5t^2)

☞ V = 18+ 10t

3.) dv/dt = d/dt* (18+10t)

=0 +10

☞ a = 10 m/s^2


2.) Average velocity =

at t = 4

x1 = 5(4)^2+ 18(4) = 152m

and at t = 5s

x2 = 5(5)^2+ 18(5) = 215m

so,

total distance travelled

dx = (x2 - x1)

total time taken

dt = 1s

so, average velocity

vav = dx/dt = (215-152) / 1

thus,

vav = 63 m/s


# hope it helps!







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