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Mechanics

A car starts from a point A. At time t s after leaving A, the distance of the car from A is s m, where s = 30t-0.4t^2 , 0<=t<=25. The car reachers the point B when t=25.

a. Find distance AB

b.Show that the car travels with a constant acceleration and state the vale of this acceleration.

A runner passes through B when t=0 with an initial velocity of 2 ms-1 running directly towards A. the runner has a constant acceleration of 0.1 ms-2.

c. Find the distance from A at which the runner and the car pass one another .

Any help is appreciated. Thank you
Original post by ram29
A car starts from a point A. At time t s after leaving A, the distance of the car from A is s m, where s = 30t-0.4t^2 , 0<=t<=25. The car reachers the point B when t=25.

a. Find distance AB

b.Show that the car travels with a constant acceleration and state the vale of this acceleration.

A runner passes through B when t=0 with an initial velocity of 2 ms-1 running directly towards A. the runner has a constant acceleration of 0.1 ms-2.

c. Find the distance from A at which the runner and the car pass one another .

Any help is appreciated. Thank you


What have you tried?
Original post by ram29
A car starts from a point A. At time t s after leaving A, the distance of the car from A is s m, where s = 30t-0.4t^2 , 0<=t<=25. The car reachers the point B when t=25.

a. Find distance AB

b.Show that the car travels with a constant acceleration and state the vale of this acceleration.

A runner passes through B when t=0 with an initial velocity of 2 ms-1 running directly towards A. the runner has a constant acceleration of 0.1 ms-2.

c. Find the distance from A at which the runner and the car pass one another .


Any help is appreciated. Thank you


for part a. u just sub the value given for t ie t= 25 into the equation for s to find distance ab
Original post by ram29
A car starts from a point A. At time t s after leaving A, the distance of the car from A is s m, where s = 30t-0.4t^2 , 0<=t<=25. The car reachers the point B when t=25.

a. Find distance AB

b.Show that the car travels with a constant acceleration and state the vale of this acceleration.

A runner passes through B when t=0 with an initial velocity of 2 ms-1 running directly towards A. the runner has a constant acceleration of 0.1 ms-2.

c. Find the distance from A at which the runner and the car pass one another .

Any help is appreciated. Thank you


is this M1 or M2
cuz if it is M2 then for part b u can differentiate to show a is constant.

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