At time tt = 0 a 2270 kgkg rocket in outer space fires an engine that exerts an increasing force on it in the +x+x-direction. This force obeys the equation Fx=At2Fx=At2, where tt is time, and has a magnitude of 781.25 NN when ttt = 1.49 ss.(a) Find the SI value of the constant A, including its units.
(b) What impulse does the engine exert on the rocket during the 1.50-s interval starting 2.00 s after the engine is fired?
(c) By how much does the rocket?s velocity change during this interval? Assume constant mass.

Abasketball star covers 2.65 m horizontally in a jump to dunk the ball. his motion through space can be modeled precisely as that of a particle at his center of mass. his center of mass is at elevation 1.02 m when he leaves the floor. it reaches a maximum height of 1.90 m above the floor and is at elevation 0.910 m when he touches down again. (a) determine his time of flight (his "hang time"). (b) determine his horizontal velocity at the instant of takeoff. (c) determine his vertical velocity at the instant of takeoff. (d) determine his takeoff angle. (e) for comparison, determine the hang time of a whitetail deer making a jump with center-of-mass elevations yi = 1.20 m, ymax = 2.45 m, and yf = 0.750 m.

An athlete swings a ball, connected to the end of a chain, in a horizontal circle. the athlete is able to rotate the ball at the rate of 8.13 rev/s when the length of the chain is 0.600 m. when he increases the length to 0.900 m, he is able to rotate the ball only 6.04 rev/s. (a) which rate of rotation gives the greater speed for the ball? 6.04 rev/s 8.13 rev/s (b) what is the centripetal acceleration of the ball at 8.13 rev/s? m/s2 (c) what is the centripetal acceleration at 6.04 rev/s? m/s2

In general what determines whether atoms will form chemical bonds?