1. (10 pts: 4, 2, 4) If a ball is dropped from a height 500 feet,...
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.
(18 pts) Find the absolute extreme values of f(x) = 2 cos x - sin 2x on [0, 21). (24 pts) If a ball is thrown vertically upward with a velocity of 160 feet per second, then its height after t seconds is h(t) = -16t2 + 160t. a. Find the average velocity of the ball during the first 5 seconds. b. Use the Mean Value Theorem to verify that at some time during the first 5 seconds the instantaneous...
(1 point) A ball is dropped from a height of 10 feet and bounces. Suppose that each bounce is 5/8 of the height of the bounce before. Thus, after the ball hits the floor for the first time, it rises to a height of 10 ) = 6.25 feet, etc. (Assume g = 32ft/s and no air resistance.) A. Find an expression for the height, in feet, to which the ball rises after it hits the floor for the nth...
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 the formula: s(t) = 12 - (t - 2)? Determine the instantaneous velocity of the object when t = 3 using the limit definition. Include units. Meters is abbreviated m and seconds is abbreviated s.
(3 points) A ball is dropped from a height of 10 feet and bounces. Suppose that each bounce is 5/8 of the height of the bounce before. Thus, after the ball hits the floor for the first time, it rises to a height of 10 ) = 6.25 feet, etc. (Assume no air resistance.) A. Find an expression for the height, in feet, to which the ball rises after it hits the floor for the nth time: hn = 10(5/8)^n...
(3 points) A ball is dropped from a height of 14 feet and bounces. Suppose that each bounce is 6/8 of the height of the bounce before. Thus, after the ball hits the floor for the first time, it rises to a height of 14 ) = 8.75 feet, etc. (Assume no air resistance.) A. Find an expression for the height, in feet, to which the ball rises after it hits the floor for the nth time: hm = 14(5/8^n...
The height of an object ( seconds after it is dropped from a height of 200 meters iss( time during the first 10 seconds of fall at which the instantaneous velocity equals the average velocity. 492+200, Find the The height of an object ( seconds after it is dropped from a height of 200 meters iss( time during the first 10 seconds of fall at which the instantaneous velocity equals the average velocity. 492+200, Find the
(6) A ball is thrown directly upward from a height of 11 feet with an initial velocity of 192 ft/s.The function (1) =-161° +1921 +11 gives the height of the ball in feet, 7 seconds after it has been thrown. Determine the time at which the ball reaches the maximum height and find the maximum height
a ball is shot straight up into the air and its height above the ground (in feet) after t seconds is modeled by the functions s(t)=-16t+127t+8. determines the instantaneous velocity of the ball two seconds before it hit the ground 9(x) = -1x – 2+4.
If a ball is thrown upward at 96 feet per second from a height of 12 feet, the height of the ball can be modeled by S- 12+96t seconds after the ball is thrown. How long after the ball is thrown is the height 152 feet? 16t feet, where t is the number of t takes seconds for the ball to reach th (Type an integer or a simplified fraction. Use a comma to separate answers as needed.) e height...