8. o In a mall, a shopper rides up an escalator between floors. At the top of the escalator, the shopper turns right and walks 9.00 m to a store. The magnitude of the shopper's displacement from the bottom of the escalator to the store is 16.0 m. The vertical distance between the floors is 6.00 m. At what angle is the escalator inclined above the horizontal?

8. o In a mall, a shopper rides up an escalator between floors. At the top of the escalator, the shopper turns right and walks 9.00 m to a store. The magnitude of the shopper's displacement from the bottom of the escalator to the store is 16.0 m. The vertical distance between the floors is 6.00 m. At what angle is the escalator inclined above the horizontal?

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter2: Vectors

Section: Chapter Questions

Problem 61P: In the control tower at a regional airport, an air traffic controller monitors two aircraft as their...

See similar textbooks

Similar questions

A golf ball with an initial speed of 50.0 m/s lands exactly 240 m downrange on a level course, (a) Neglecting air friction, what two projection angles would achieve this result? (b) What is the maximum height reached by the ball, using the two angles determined in part (a)?
A football player punts the ball at a 45.0° angle. Without an effect from the wind, the ball would travel 60.0 m horizontally. (a) What is the initial speed of the ball? (b) When the ball is near its maximum height it experiences a brief gust of wind that reduces its horizontal velocity by 1.50 m/s. What distance does the ball travel horizontally?
A small plane flies at 200 km/h in still air. If the wind blows directly out of the west at 50 km/h, (a) in what direction must the pilot head her plane to move directly north across land and (b) how long does it take her to reach a point 300 km directly north of her starting point?
When a field goal kicker kicks a football as hard as he can at 45 to the horizontal, the ball just clears the 3-m- high crossbar of the goalposts 45.7 m away. (a) What is the maximum speed the kicker can impart to the football? (b) In addition to clearing the crossbar, the football must be high enough in the air early during its flight to clear the reach of the onrushing defensive lineman. If the lineman is 4.6 m away and has a vertical reach of 2.5 m, can he block the 45.7-m field goal attempt? (c) What if the lineman is 1.0 m away?
By throwing a ball at an angle of 45, a girl can throw the ball a maximum horizontal distance R on a level field. How far can she throw the tame ball vertically upward? Assume her muscles give the ball the same speed in each case. (Is this assumption valid?)
A projectile is launched at an angle of 30 and lands 20 s later at the same height as it was launched. (a) What is the initial speed of the projectile? (b) What is the maximum altitude? (c) What is the range? (d) Calculate the displacement from the point of launch to the position on its trajectory at 15 s.
A basketball is shot from an initial height of 2.40 m (Figure 1) with an initial speed?o = 12 ms-1directed at an angle ?0 = 35° above the horizontal.(a) How far from the basket was the player if he made a basket?(b) At what angle to the horizontal did the ball enter the basket?
A plane, diving with constant speed at an angle of 53.0° with the vertical, releases a projectile at an altitude of 730 m. The projectile hits the ground 5.00 s after release. (a) What is the speed of the plane? (b) How far does the projectile travel horizontally during its flight? What are the (c) horizontal and (d) vertical components of its velocity just before striking the ground?
A football player punts the ball at a 45.0º angle. Withoutan effect from the wind, the ball would travel 60.0 mhorizontally. (a) What is the initial speed of the ball? (b) Whenthe ball is near its maximum height it experiences a brief gustof wind that reduces its horizontal velocity by 1.50 m/s. Whatdistance does the ball travel horizontally?
In the Superbowl, a quarterback throws a football while standing at the very center of the field on the 50 yard line. The ball leaves his hand at a height of 5 ft and has initial velocity of ~v(0) =< 40, 35, 32 > ft/sec. Assume an acceleration of 32 ft/sec2 due to gravity, i.e., ~a(t) =< 0, 0, −32 >, and that the vector ~i points down fieldtoward the endzone and that the vector ~j points to the sideline. The field is 150 ft in width and 300 ft in length.(a) Determine the position function that gives the position of the ball t seconds after it isthrown. (b) The ball is caught by a player 5 ft above the ground. Is the player in bounds or out ofbounds when he receives the ball? (Assume the player is standing vertically with bothtoes on the ground at the time of reception.)
A place kicker must kick a football from a point 36.0m (about 40 yards) from the goal, and half the crowd hopes the ball will clear the crossbar, which is 3.05m high. When kicked, the ball leaves the ground with a speed of 20.0m/s at an angle of 53o to the horizontal. a) By how much does the ball clear or fall short of clearing the crossbar? b) Does the ball approach the crossbar while still rising or while falling?
A ballplayer standing at home plate hits a baseball that is caught by another player at the same height above the ground from which it was hit. The ball is hit with an initial velocity of 32.7 m/s at an angle of 60.0° above the horizontal. b. How much time (in seconds) will elapse from the time the ball leaves the bat until it reaches the fielder? anser in s c. At what distance from the home plate will the fielder be when he catches the ball? answer in m