2.7 EXERCISES 1-4 A particle moves according to a law of motion s f(t), t 0, where t is measured in seconds ands in feet. (a) Find the velocity at time t. (b) What is the velocity after 1 second? (c) When is the particle at rest? (d) When is the particle moving in the positive direction? (e) Find the total distance traveled during the first 6 seconds. (f) Draw a diagram like Figure 2 to illustrate the motion of the particle. (g) Find the acceleration at time t and after 1 second. (h) Graph the position, velocity, and acceleration functions for 0t 6. (i) When is the particle speeding up? When is it slowing down? 1. f(t) t3-9t224t 2. f(t) 0.01t - 0.04t3

Q: A motorist starts braking for a stop sign. After t seconds, the distance, in metres, from the front…

A: The given equation is s(t)=62-16t+t2. The distance between the front of the car and the stop sign…

Q: 0.2+ 25x+ 3x2) dx

A: Simpson's 13 rule: ∫abydx=h3(y0+4(y1+y3+y5+...++yn-1)+2(y2+y4+y6+...+yn-2)+yn), where h=b-aN and N…

Q: solve for t

A:

Q: 4. A golf ball is shot into the air and modeled by the function h(t) = - 4.7t + 13t + 0.3 where h is…

A:

Q: 5-solve = dx 2y + x and plot the solution.

A:

Q: S= 2rh + 2r^2 , for h Please show steps

A: Do the mathematical operations such that only h remains one side and other all shifted to others…

Q: A mouse on a tightrope is moving such that its position relative to some fixed point is given by…

A:

Q: A vehicle travels in a straight line for t minutes with a velocity of v(t) = 174t - 6t² feet per…

A: Step 1: Step 2: Step 3: Step 4:

Q: Solve cosh 2r = tanh-r.

A:

Q: 6) Suppose that the price of an Iphone (in dollars) is given by 6t p(t): 4 + 3e²/t . = 300 + t+2 t2…

A:

Q: x-1 -dx X +x

A:

Q: Use the variation of parameters to solve the given equation: (a) y" +4y=2cot 2x

A: Note that : Since you have posted multiple questions, we will provide the solution only to the first…

Q: Solve Using = 0 green function (0) = 0 9(0)=0 by

A:

Q: 1) Football travels through the air followed by the function h(t)= -4.9t^2+16t+1 where h is the…

A: Given , football travel followed by the function  h(t) =-4.9t2 +16t +1       .. .. .. .. .. ..(1)…

Q: πX₁ + 2x₂ +27x3 = 2 -x₁ +22x2-3x3-1 17x215x3 = 0 πx₁ + x3 = 84 Dla describo hou to Juod liniar…

A:

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.