A 2560 kg test rocket is launched vertically from the launch pad. Its fuel (of negligible mass) provides a thrust force such that its vertical velocity as a function of time is given by v(t)=At+Bt2, where A and B are constants and time is measured from the instant the fuel is ignited. The rocket has an upward acceleration of 1.40 m/s2 at the instant of ignition and, 1.00 s later, an upward velocity of 2.00 m/s.
a. Determine A.
b. Determine B.
c. At 5.00s after fuel ignition, what is the acceleration of the rocket?
d. What thrust force does the burning fuel exert on it, assume no air resistance? Express the thrust in newtons.
e. What thrust force does the burning fuel exert on it, assume no air resistance? Express the thrust as a multiple of the rocket's weight.
f. What was the initial thrust due to the fuel?

unlike poles attract

he made 11 calls in one day

force is based upon mass and acceleration.the statement is not always true.

it can be explained from newton's second law of motion.

as per newton's second law of motion the rate of change of momentum is directly proportional to the applied force and takes place along the direction of force.

mathematically it can be written as -

                                              ⇒      

here   k is the proportionality constant whose value is 1.

                                                            [a is the acceleration=dv/dt]

hence we see that force not only depends on mass and acceleration but also on velocity and rate of change of mass. force f will depend on mass and acceleration only when mass is constant.

hence the statement that force is based upon mass and acceleration is false.