Grumpy, anti-social Professor Sosa loves standing on top of a 262 ft building and tossing water bal- loons at unsuspecting students below. If he drops a balloon, how long will it take for it to hit a 6-foot-tall student? What will the velocity of the bag be when it makes contact?

Q: Can the distance traveled by a particle ever be less than its displacement? When are they equal?

A: No, the magnitude of the displacement is always less than or equal to the distance traveled.

Q: A cyclist coasts up a 11.3° slope, traveling 19.0 m along the road to the top of the hill. If the…

A:

Q: In order to kill a bird 20m up in the air, a boy uses his catapult to shoot a pebble vertically…

A: given that  bird is at h=20m up in the air. a boy uses his catapult to shoot a pebble vertically…

Q: a) Draw a picture that shows what is going on and label the important variables. b) Set up an…

A:

Q: Sofi  is 1.50 meters high and goes straight towards a streetlight  that is 6 meters high. (She walks…

A: Consider the following figure: AB represents height of streetlight. ED represents height of Person…

Q: A 50-kg girl jumps from the rear of a 30-kg boat moving forward at 1 m/s. If the girl’s velocity…

A:

Q: A coin of mass 0.05kg is dropped from the top of the Eiffel tower, which is 300m tall. It…

A:

Q: A boat heads north across a river at a rate of 4 miles per hour. If the current is flowing east at a…

A:

Q: At noon, ship A is 20 nautical miles due west of ship B. Ship A is sailing west at 24 knots and ship…

A: At time t, the ship A moves 24t and ship B moves 16t. It can be found that, the ship A moves closer…

Q: Suppose a cyclist was using a 150-millimeter-diameter chainring and an80-millimeter- diameter…

A: Given: Let, dc  and rc denotes the diameter and radius of Chainring respectively and ds  and  rs…

Q: The trunk of a palm tree has cylindrical tubes that carry water. Each tube is 0.0003 meters wide.…

A: width of tube = 0.0003 meters diameter fo the palm trunk= 0.5meters

Q: In a football game, a defensive player jumps up to block a pass by the opposing team’s quarterback.…

A: Refer to the Question and note as :- Initial velocity v =-50 feet km second That time height of…

Q: Pebbles are poured out of a tube at one cubic meter per second. It forms a pile which has the shape…

A:

Q: A street light is at the top of a 18 foot tall pole. A 6 foot tall woman walks away from the pole…

A: Let AB be the pole=18ft CD be height of woman=6 ft let AD=x and DE=y dxdt=4 ft/sec (given)

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.