The acceleration of a particle is a(t) = 60t − 4t3 m/s2. Compute the average acceleration and the average speed over the time interval [3, 7], assuming that the particle's initial velocity is zero. (Round your answers to two decimal places.)

Explanation:

Acceleration function is given by

a(t) = 60 t - 4t³

To calculate the average acceleration [3,7] , use the following formula

Average acceleration = - 280 m/s²

velocity function is given by

Average velocity = - 38.2 m/s

when jerome paddle in flowing river towards east the net speed of jerome will increase

so the net speed of jerome will be given as

now the speed of paul will be same as it is given as he is running on the ground

so

so here we can say since the speed of jerome is more so he will win the race

now as we know the distance so the time difference is given as

so jerome will reach first and the time difference will be 203.55 s or 3.4 min