Question 3 0.00000 out of 1.00000 points x Suppose that the height of a ball s...

Question

Question

Question 3 0.00000 out of 1.00000 points x Suppose that the height of a ball s (in meters) at time t (in seconds) is given by

math calculus

Answer 1

Answer #1

slt) = 12-(t-272 Instantaneous relocity ds f(t+h)-f(t) dt h = lim hao +(] 12-6t+h-222 (12-14-202) = lim hao dt h ds dt lim ho

Answer 2

Similar Homework Help Questions

1. (10 pts: 4, 2, 4) If a ball is dropped from a height 500 feet,...

1. (10 pts: 4, 2, 4) If a ball is dropped from a height 500 feet, its height in feet after t seconds is given by h(t) = 500-16t2. Include the proper units, in your solution. (a) Find the average velocity of the ball over the time interval 1 sts3. (b) Complete the definition of the derivative The derivative of a function f at a number a, denoted by f'(a), is defined as f'(a) (c) Use the limit definition of...
4. A golf ball is struck from the top of a building. The height of the...

4. A golf ball is struck from the top of a building. The height of the ball above the ground is given by the equation: h(t) = -5t? + 20t + 60, where his in meters and t in seconds. a) Determine the average rate of change (average velocity) over the interval 35156 seconds. b) Determine the instantaneous rate of change (instantaneous velocity) at t = 3 seconds. Use at least four decimal place accuracy in your calculations.
If a ball is thrown straight up into the air with an initial velocity of 95 ft/s, it height in feet after t second is given by y=95t–16t2

If a ball is thrown straight up into the air with an initial velocity of 95 ft/s, it height in feet after t second is given by y=95t–16t2. Find the average velocity for the time period begining when t=1 and lasting(i) 01 seconds: (ii) 001 seconds:(iii) 0001 seconds:Finally based on the above results, guess what the instantaneous velocity of the ball is when t=1.

5. The height of a ball S in feet at time x seconds is given by the equation S(x)=-16x 128x + 80 where 0sxs8 F...

5. The height of a ball S in feet at time x seconds is given by the equation S(x)=-16x 128x + 80 where 0sxs8 Find the instantaneous velocity at x 1 a. b. Find the instantaneous acceleration_ atx= I 6) Calculate the derivatives of the following functions a) f(x) sin x e43 b) f(x)=x arctan(e.) c) f(x) = x In x d) f(x) aresin(In(x2 +3x+1) e) f(x) 3x+1 C 5. The height of a ball S in feet at time...
8. A student rolls a marble alongside a meterstick to measure its velocity. At t1 =...

8. A student rolls a marble alongside a meterstick to measure its velocity. At t1 = -2.5 s, its position is x1 = 4.3 cm, and at t2 = 4.5 s it is at x2 = 18.5 cm. Determine its average velocity during this time interval. 9. The position of a ball rolling along a straight line is given by ? = 1.8−3.6? +1.5?2, where x is in meters and t is in seconds. Determine the average velocity of the...
Given position x = 2t + 5t2 (where x is in meters and t is in...

Given position x = 2t + 5t2 (where x is in meters and t is in seconds): A. Calculate the average velocity over the time interval t = 1 s to t = 4 s. Units: m.s-1 B. What is the instantaneous velocity at t = 4 s? Units: m.s-1 C. What is the acceleration of the object? Units: m.s-2 D. In which direction is the object accelerating?

Question S A ball is thrown from a height of horizontal. Assume air resistance is negligible....

Question S A ball is thrown from a height of horizontal. Assume air resistance is negligible. 20 meters with an initial velocity of 10 m/s at an angle of 30 above the an initial (a) Find the x and y components of the ball's initial velocity (b) What is the maximum height in meters reached by the ball? (c) For how many seconds is the ball in the air? (d) What is the total distance from the launch point to...
(1 point) The heights of a ball (in feet) at time t (in seconds) is given...

(1 point) The heights of a ball (in feet) at time t (in seconds) is given by the formula s(t) = 64 - 16(t - 1)2. Consider the following average rate of change expression. AV = $(1) – 8(0.5) 1 -0.5 (a) Compute the value of AV: (b) What are the units on AV? A. feet per second squared B. meters per second C. meters D. feet per second E. seconds F. meters per second squared G. feet (c) What...
a word using a quadratic equation with irrational. A ball is thrown from an initial height...

a word using a quadratic equation with irrational. A ball is thrown from an initial height of 1 meter with an initial upward velocity of і5 m/s. The bars height h (in meters) after t seconds is given by the Find all values of t for which the ball's height is 6 meters (If there is more than one answer, use the "or" button.) height MacBook Ai

please show work! 9. A 2-kg ball is dropped out of a w is dropped out of a window from a height of 12 meters (Point...

please show work! 9. A 2-kg ball is dropped out of a w is dropped out of a window from a height of 12 meters (Point A). It hits the grow and bounces back up to a height of 8 meters above the ground (Point). a. What is the potential energy of the ball at points A and C b. What is the velocity of the ball just before and just after it hits the ground (points B and B')?...