A 0.500-kg potato is fired at an angle of 80.0° above the horizontal from a PVC pipe used as a “potato gun” and reaches a height of 110.0 m. (a) Neglecting air resistance, calculate the potato’s velocity when it leaves the gun. (b) The gun itself is a tube 0.450 m long. Calculate the average acceleration of the potato in the tube as it goes from zero to the velocity found in (a). (c) What is the average force on the potato in the gun? Express your answer in newtons and as a ratio to the weight of the potato.

What do vectors and scalars have in common? How do they differ?

A strong softball player smacks the ball at a height of 0.7 m above home plate. The ball leaves the players bat at an elevation angle of 35 and travels toward a fence 2 m high and 60 m away in center field. What must the initial speed of the softball be to clear the center field fence? Ignore air resistance.

Neglecting air resistance, why would a ball projected horizontally and another ball dropped at the same time from the same initial height hit the ground together?

What area of physics involves the study of objects moving at relatively low speeds?

A landscape architect is planning an artificial waterfall in a city park. Water flowing at 1.70 m/s will leave the end of a horizontal channel at the top of a vertical wall h = 2.35 m high, and from there it will fall into a pool (Fig. P3.42). (a) Will the space behind the waterfall be wide enough for a pedestrian walkway? (b) To sell her plan to the city council, the architect wants to build a model to standard scale, which is one-twelfth actual size. How fast should the water flow in the channel in the model? Figure P3.42

If , and , find the unknown constants a and b such that .

Check Your Understanding If atmospheric resistance is neglected find the maximum height for the mortar shell. Is calculus required for this solution?

Vector B is 5.0 cm long and vector A is 4.0 cm long. Find the angle between these two vectors when |A+B|=3.0cm and |AB|=3.0cm .

A double-incline plane is shown below. The coefficient of friction on the left surface Is 0.30, and on the right surface 0.16. Calculate the acceleration of the system.