Chapter 3: Q.7CQ (page 119)
Explain why it is not possible to add a scalar to a vector.
The reading obtained from any sum of a vector and a scalar is always wrong and it is impossible to add them.
Over 30 million students worldwide already upgrade their learning with Vaia!
All the tools & learning materials you need for study success - in one app.
Get started for free
The free throw line in basketball is from the basket, which is above the floor. A player standing on the free throw line throws the ball with an initial speed of releasing it at a height of above the floor. At what angle above the horizontal must the ball be thrown to exactly hit the basket? Note that most players will use a large initial angle rather than a flat shot because it allows for a larger margin of error. Explicitly show how you follow the steps involved in solving projectile motion problems.
If an airplane pilot is told to fly 123 km in a straight line to get from San Francisco to Sacramento, explain why he could end up anywhere on the circle . What other information would he need to get to Sacramento?
In 2007, Michael Carter (U.S.) set a world record in the shot put with a throw of . What was the initial speed of the shot if he released it at a height of and threw it at an angle of above the horizontal? (Although the maximum distance for a projectile on level ground is achieved at when air resistance is neglected, the actual angle to achieve maximum range is smaller; thus, will give a longer range than in the shot put.)
A basketball player dribbling down the court usually keeps his eyes fixed on the players around him. He is moving fast. Why doesn’t he need to keep his eyes on the ball?
Suppose you walk \({\bf{18}}.{\bf{0}}\)m straight west and then \({\rm{25}}{\rm{.0}}\) m straight north. How far are you from your starting point, and what is the compass direction of a line connecting your starting point to your final position? (If you represent the two legs of the walk as vector displacements A and B , then this problem asks you to find their sum R = A + B .)
What do you think about this solution?
We value your feedback to improve our textbook solutions.
