A driver enters the exit ramp on a highway at a speed of 40 km/h and immediately applies the brake so that the magnitude of the car's acceleration at point A is 1.5 m/s. If the breaking effect remains constant during the motion, calculate the distance that the car stops on the exit ramp. 100 m

The acceleration of a sniper rifle bullet inside the rifle’s barrel is given by a=k/x, where k is a constant and x is the position of the bullet along the barrel. If the bullet starts from rest at x=7.5 mm and comes out at the end of the 750-mm barrel with a speed of 600 m/s, What is the velocity of the bullet as it passes the midpoint of the barrel?

The pilot of a jet transport brings the engines to full takeoff power before releasing the brakes as the aircraft is standing on the runway. The jet thrust remains constant, and the aircraft has a near-constant acceleration of 0.39g. If the takeoff speed is 240 km/h, calculate the distance s and time t from rest to takeoff. Answers: S = i m t = S

The standard test to determine the maximum lateral acceleration of a car is to drive it around a 200- ft-diameter circle painted on a level asphalt surface. The driver slowly increases the vehicle speed until he is no longer able to keep both wheel pairs straddling the line. If this maximum speed is 35 mi/hr for a 3000-lb car, determine its lateral acceleration capability an in g's and compute the magnitude F of the total friction force exerted by the pavement on the car tires. 100 ft

When the effect of aerodynamic drag is included, the y-acceleration of a baseball moving vertically upward is au = -g - kv², while the acceleration when the ball is moving downward is ad = -g + kv², where k is a positive constant and v is the speed in feet per second. If the ball is thrown upward at 94 ft/sec from essentially ground level, compute its maximum height h and its speed vf (a positive number) upon impact with the ground. Take k to be 0.0017 ft¹ and assume that g is constant. au=-g-ku² y 1 194 ft/sec Answers: h = Vf= i i ad=-g+kv2 h ft ft/sec

2/42 Packages enter the 3-m chute at A with a speed of 1.2 m/s and have a 0.3g acceleration from A to B. If the packages come to rest at C, calculate the constant acceleration a of the packages from B to C. Also find the time required for the packages to go from A to C. A -3 m B Problem 2/42 3.6 m C

At time t = 0, a particle is at rest in the x-y plane at the coordinates (x0, y0) = (3, 0) in. If the particle is then subjected to the acceleration components ax = 0.55 − 0.29t in. /sec2 and ay = 0.15t − 0.03t2 in. /sec2, determine the coordinates of the particle position when t = 6 sec. You might consider plotting the path of the particle during this time period.