A rocket has been programed to follow a path y = x^2 (moving from left to right along the curve). An emergency has arisen and the crew must return to their base which is located at the coordinates (3, 5). At which point on the path of y = x^2 should the captain turn off the engine so that the ship can coast along the tangent of the curve to return to base?

explanation:

could i give you a exaplo that could you?

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.