Question #180385
  1. a car accelerates with constant acceleration from a standstill to the speed v0 = 90km / h on a straight line for a period of time t1. the velocity from t = 0 to t = t1 is given by:

V(t)= v0(t/t1)^2

how big is the car's average speed during this time?

2, a particle moves at a constant speed u on a circular path. The period of the movement is t1. what is the amount of the particle's average acceleration from time t = 0 to t = (3/2)t1


1
Expert's answer
2021-04-13T06:30:20-0400

1)

s=0t1v(t)dt=vt120t1t2dt=vt12t133=vt13,s=\int_0^{t_1}v(t)dt=\frac{v}{t_1^2}\int_0^{t_1}t^2dt=\frac{v}{t_1^2}\cdot\frac{t_1^3}{3}=\frac{vt_1}{3},

vav=st1=v3=30 kmh.v_{av}=\frac{s}{t_1}=\frac v3=30~\frac{km}{h}.

2)

aav=u2u1t1=uut1=0.a_{av}=\frac{u_2-u_1}{t_1}=\frac{u-u}{t_1}=0.


Need a fast expert's response?

Submit order

and get a quick answer at the best price

for any assignment or question with DETAILED EXPLANATIONS!

Comments

No comments. Be the first!
LATEST TUTORIALS
APPROVED BY CLIENTS