9. A ball is dropped from a height y = H> 0 to the ground y = 0. Sketch plots of the position versus time y(t), the velocity versus time vy(t), and the acceleration versus time a, (t). Neglect air resistance effects.

3. Pilots of high-performance aircraft risk loss of consciousness if the undergo accelerations exceeding about 5g. For a military jet flying at 2470 km/hr (about twice the speed of sound), what is the minimum time it takes the jet to reverse its direction in a circular turn while keeping the acceleration below the 5g safety threshold?

1. A particle moves on a vertical line so that its coordinate at time t is y= 213 - 16t+3, t 2 0. (a)Graph the position, velocity, and acceleration functions for 0 sts 3. (b)When is the particle speeding up? When is it slowing down?

7. A particle is moving in a straight line such that the relation below gives its position. Calculate (a) its = average acceleration during the time interval from t₁ acceleration as a function of time. 7.00 s, and (b) its instantaneous 4.00 s to te = x = (6.3 m/s²)² + (4.9 m)

41. An object moves along the x-axis with constant acceleration a. Verify that can ch [v(t)]? = v3 + 2a[x(t) – xo].

Problems 3 and 4: A particle's velocity is given by the following function: v(t) =t³ – 13t? + 50t – 56

2. Write the kinematic equations for distance and velocity describing a particle moving in the x-direction with initial position 4m, initial velocity 2m/s, undergoing a constant acceleration of 3m/s² a) x(t) %D b) v(t) =

14. The speed of a nerve impulse in the human body is about 100 m/s. If you accidentally stub you toe in the dark, estimate the time it takes the nerve impulse to travel to your brain. (Assume that you are approximately 1.70 m tall and that the nerve impulse travels at uniform speed.)

1. Suppose that the velocity of a particle in motion is given by v(t) = 44t² +²+1 feet per second, where t is in seconds from now. Find the position of the particle after 5 seconds.

6. The acceleration due to gravity on the surface of the Moon is only 17% of that on the surface of the Earth. If a person can throw a heavy ball 10.0 m vertically upward on Earth, how high could she throw it on the Moon if she gives it the same starting speed? How much longer would it be in motion (up and down) on the Moon compared to on the Earth? A