Marianne and Rick’s airplane is being chased by a bad guy in a helicopter. Suppose their trajectories are given by the parametric equations:
rp(t) = (h^7t − 10, t^2 , t + 2i) and rH = (ht^2 , 5t − 6, t^2i) for 0 ≤ t ≤ 5.
Let CP and CH denote the corresponding space curves.
(a) Graph Cp and Ch. Do Ch and Cp intersect?
(b) Do the helicopter and airplane collide? Justify your answer.
(c) If they do collide, what is the angle between their tangent lines at the point of collision?
(d) Describe the velocity and acceleration of each of the vehicles.

Agroup of students is studying convection currents. they fill two identical balloons with the same amount of helium. one balloon is placed in a freezer and the other in an area with warm air. after 10 minutes, the balloons are released from a height of 1 meter. which of the following do the students most likely observe? question 2 options: the balloons rise at the same rate. both balloons are the same size. the ballons both rise. the cold ballon is larger than the warm balloon. the cold balloon expands and rises. the warm balloon shrinks and sinks. the warm balloon expands and rises. the cold balloon shrinks and sinks.

Aweight lifter raises a 1600 n barbell to a height of 2.0 meters. how much work was done? w = fd a) 30 joules b) 3000 joules c) 320 joules d) 3200 joules

Geologists get to play with chemistry, physics, and history! and what a history you will meet as youwork your way through the course. starting at the beginning, the textbook provides the scientifically acceptedstart of the and promises that you'll get to explore some of the evidence for that scientific view, later inthe semester. meanwhile, which is more nearly correct of the scientifically accepted view? a) the earth formed when the big bang caused older materials to fall together, about 14 billion years ago. b) the earth formed from the falling together of older materials, about 4.6 billion years ago. c) the earth formed in the big bang, about 6000 years ago. d) the earth is eternal, having been here forever and promising to be here forever. e) the earth was assembled by gigantic space beavers, which gnawed down the primordial tree of life andpiled its branches together to form the planet.