Doug shows up 15 s late at an experiment Carrie is running with a spring. The spring is bouncing according to the following equation h(t) = -1.5 sin(30°t) + 2, where t is time in seconds and h is height in inches. a) What is the height of the spring 3 seconds before Doug showed up? b) At what two times did Doug first see the spring at a height of 3 inches?

Q: Researchers find a creature from an alien planet. Its body temperature varies sinusoidally with…

A: Find the equation representing the given situation and find the initial temperature.

Q: 3. A crane is being created by four steel members (bold) and a cable, as shown in the diagram below.…

A: cosine law c2 = a2 + b2 - 2abcosAsine law asinA = bsinB = csinC

Q: Could you please show me how to solve #59? I have attached a photo of the answer as well,I would…

A:

Q: Could you please show me how to solve #63? I have attached a photo of the answer as well,I would…

A:

Q: 2. When a pendulum 0.5 m long swings back and forth, its angular displacement from rest position, in…

A: We have to find the value of t ( time ) in seconds.

Q: 1 Find two equations (using cosine and sine) for the following: A mass on the end of a spring is at…

A: (a) Given that, The mass is hanging 80 cm from the ground, and it pulled down 60 cm and released at…

Q: 12. Janice is playing softball. She has been practicing her batting. Her bat is 36 inches long. On…

A: We know that length of arc is l=rθ Given, r=36 inch θ=250°θ=250×π180θ=25π18

Q: Q5: The minute hand of a clock is 6 cm long and moves from 12 to 4 o'clock. How far does the tip of…

A:

Q: P(A) = 0.36, what is P(AC) If necessary, round to 4 decimal places.

A: The probability of the complement of an event is one minus the probability of the event.Since the…

Q: Q. 10. If b=V8 , c= V13 and B = 45°, find 'C" %3D

A:

Q: Alice is riding a Ferris wheel, where t is time in seconds. Supposed the Ferris wheel is 20 m tall.…

A: Let the function .To find: The lowest height was achieved relative to the centre of the Ferris…

Q: tan? 20° – sin? 20° Compute: Show your work. tan² 20° sin² 20°

A: Given  tan220°-sin220°tan220°sin220°

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.