To identify situations when position, velocity, and /or acceleration change, realizing that change can be in direction or magnitude. If an object's position is described by a function of time, r⃗ (t) (measured from a nonaccelerating reference frame), then the object's velocity is described by the time derivative of the position, v⃗ (t)=dr⃗ (t)dt, and the object's acceleration is described by the time derivative of the velocity, a⃗ (t)=dv⃗ (t)dt=d2r⃗ (t)dt2. It is often convenient to discuss the average of the latter two quantities between times t1 and t2: v⃗ avg(t1,t2)=r⃗ (t2)−r⃗ (t1)t2−t1 and a⃗ avg(t1,t2)=v⃗ (t2)−v⃗ (t1)t2−t1.

your answer would be fusion

e) none of the above answers are correct

the closer the planet is to the sun, the larger the gravity

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.