written 8.7 years ago by | • modified 4.9 years ago |
If the athlete finishes the race in 10.4sec, determine: (i) his initial acceleration; (ii) his maximum velocity.
written 8.7 years ago by | • modified 4.9 years ago |
If the athlete finishes the race in 10.4sec, determine: (i) his initial acceleration; (ii) his maximum velocity.
written 8.7 years ago by |
Let t1 be time in which athlete achieves max. Velocity & let t2 be the remaining time
Let v be the maximum velocity achieved bt athlete & a be his acceleration
So,t1+t2=10.4____(i)
Also for uniformly acc. Motion , we get
4=(1/2)∗a∗(t1)2____(ii) & v=a∗(t1)_____(iii)
For uniform velocity motion
96=v∗(t2)______(iv)
Putting eqn(iii) in eqn(iv)
96=a∗(t1)∗(t2)____(v)
Putting value of a from eqn (ii) & value of t2 from eqn (i) in eqn (v)
96=[8/(t1)2]∗(t1)∗(10.4−t1)96(t1)=83.2−8(t1)
So, we get, t1=0.8sec & t2=9.6sec
Putting t1 & t2 in eqn (iv) & (v),we get
a=12.5m/s2 & v=10m/s
His initial acceleration is 12.5m/s2 & his maximum velocity is 10 m/s