For safety reasons, some of the fastest dragsters, called top-fuel dragsters, do not race for more than300400m300400m. Consider such a dragster that, when the light turns green, accelerates uniformly from rest and completes a302m302mrace in a time of5.01s5.01s.

1) 50% of part (a) During this period, what is the dragster's acceleration expressed as a multiple of the acceleration due to gravity, g?

50% of part (b) If the dragster could continue with this average acceleration, what would its speed be, in miles per hour, after it has traveled a total distance of1.6km1.6km, which is approximately one mile?

A baseball slugger hits a pitch and watches the ball fly into the bleachers for a home run, landing h=5.5m=5.5m higher than it was struck. When visiting with the fan that caught the ball, he learned the ball was moving with final velocity vf=30.15m/s=30.15m/s at an angle f=25=25 below the horizontal when caught. Assume the ball encountered no air resistance, and use a Cartesian coordinate system with the origin located at the ball's initial position.

2) 25% of part (a) design an expression for the ball's initial horizontal velocity, v0,x0,, in terms of the variables given in the

problem statement.

25% of part (b) Calculate the magnitude, in meters per second, of the vertical component of the ball's initial velocity.

25% of part (c) Calculate the magnitude, in meters per second, of the ball's initial velocity.

25% of part (d) Find the angle above the horizontal, in degrees, at which the ball left the bat.

3) An object rolls off a tabletop with a horizontal velocity v_0x = 4 m/s. The table is at a height y₀ = 0.25 m, above the floor. Use a coordinate system with its origin on the floor directly beneath the point where the object rolls off the table, its horizontal x-axis lying directly beneath the object's trajectory, and its vertical y-axis pointing up.

25% of part (a)How long, in seconds, is the object falling before it hits the floor?

25% of part (b)What's the horizontal distance, in meters, from the edge of the tabletop to where the object lands?

25% of part (c)What is the vertical component of velocity, in meters per second, when the object hits the ground?

225% of part (d) What is the magnitude of the velocity (its speed) when it hits the floor?

4) A block with a mass ofm=11kg rests on a frictionless surface and is subject to two forces acting on it. The first force is directed in the negativex-direction with a magnitude ofF₁=8.5N. The second has a magnitude ofF₂=18N and acts on the body at an angle=11 measured from horizontal, as shown.

50% of part (a) Please select the correct free body diagram from the choices below.

50% of part (b) Find the block's acceleration in the x-direction, a_x, in meters per second squared.

5) A horse and donkey pull on a575-kg sled simultaneously. The resulting two forces are horizontal, and can be written as (101N)i+ (401N)jand (601N)i+ (301N)j. Assume that these are the only two horizontal forces on the sled.

33% of part (a) What is the magnitude of the net force on the sled, in N?

33% of (b) What is the magnitude of the acceleration of the sled, in m/s²?

33% of part (c) If the sled starts from rest, and the force is constant, then what is its speed, in m/s, after 2.01 s?

6) A bullet shot from a rifle has a mass of 10.1 g and is moving at a speed of 250 m/s as it strikes a target, penetrating the target a distance 25 cm as it comes to rest.

What was the magnitude of the net force, in N, on the bullet as it was penetrating the target?