#1 a)particle's acceleration is described by the function ax=(30.0-33.0t) m/s2, where t is in seconds. Its initial conditions are xo=0.00 m and vox=0.00 m/s at t=0.00 s. At what time is the velocity zero again? b)What is the particle's position at that time? #2 a)the velocity-versus-time graph is shown for a particle moving along the x-axis. Its initial position is xo=1.40 m at to=0.00 s. What is the particle's position at t=1.50 s if the total time the particle moves is 6.00 s and the maximum velocity is 6.00 m/s? b)At t=1.50 s, what is the particle's velocity? c)At t=1.50 s, what is the particle's acceleration? d)At t=4.50 s, what is the particle's position? e)At t=4.50 s, what is the particle's acceleration? #3 The height of a helicopter above the ground is given by h = 2.65t3 , where h is in meters and t is in seconds. After 1.85 s, the helicopter releases a small mailbag. How long after its release does the mailbag reach the ground? #4 A car accelerates at 2.25 m/s2 along a straight road. It passes two marks that are 25.1 m apart at times t=4.00 s and t=4.90 s. What was the car's velocity at t=0? #5 a)A parachustist jumps from an airplane and freely falls y=45.2 m before opening his parachute. Thereafter, he decelerates at a=1.97 m/s2. As he reaches the ground, his speed is 3.22 m/s. How long was the parachutist in the air? b) At what height did the parachutist jump from his plane? #6 A very silly person, intent on catching pigeons on the roof of an apartment building, trips and falls a distance of 45.7 m. She lands on a metal garbage can, crushing it to a depth of 0.463 m and walks away without having been seriously hurt. What acceleration did she experience during the collision?