1. If the velocity of a projectile is given by V() 3000 2000 ] ft/sec how...
An object has a velocity given by v(t) = { + 20 (in ft/sec) after t seconds. Estimate the total distance traveled by the object on the interval (2, 10) using a left hand sum with n=
8. A projectile is fired upward with an initial velocity of 100 ft/sec. The formula for position of an after t seconds is given by f() = -161? +1001 +5. a. Find the maximum height of the projectile. b. At what time is the maximum height reached?
At moment of time t=0 a projectile is fired directly upward with an initial velocity 192 ft/sec, and initial height 200 ft. Find: a)velocity and acceleration after t seconds, (b) velocity when projectile hits the ground, (c) time of travel from the highest point to the ground. Equation of motion is h"= -32, where h(t) is the height of projectile at moment t.
A ball is thrown with an initial velocity, V, of 160 ft./sec, directed at an angle, 0, of 53° with the ground. (a) Find the x and y components of vo. (b) Find the position of the ball and the magnitude and direction of its velocity when t = 2 seconds. (c) At the highest point of the ball's path, what is the ball's altitude h, and how much time has elapsed? (d) What is the ball's range d? (see...
Erratic Motion Kinematics Problem 1 In figure 1 we have the velocity profile (ft/sec) of a particle (the time scale is in seconds), determine the acceleration and displacement profiles; estimate the final position 14 10 12 15 18 21 Figure 1 Problem 2 If a particle starts with an initial velocity of 10 ft/ sec and has the acceleration profile of figure 2 (ft/sec) - determine its final velocity and its displacement profile. 50 乡◆◆◆◆◆◆◆◆◆◆◆◆◆◆◆ 30t 20 10 10 15...
The position of an object moving along a straight line is given by where s is measured in feet and t in seconds. Find the velocity v(t) and acceleration a(t) of the object after 3 sec. (Round your answers to three decimal places.) ft/sec ft/sec2 a(3)
The position of an object moving along a straight line is given by where s is measured in feet and t in seconds. Find the velocity v(t) and acceleration a(t) of the object after...
0 to 60 mph in 10 seconds with the A car accelerates smoothly from velocity given in the figure below. Estimate how far the car travels during the 10 -second period. v (mph) 60 40 20 t (sec) 10 5 Round your answer to three decimal places. miles. The car traveled
0 to 60 mph in 10 seconds with the A car accelerates smoothly from velocity given in the figure below. Estimate how far the car travels during the 10...
If a projectile is fired with an initial velocity of v0 meters per second at an angle α above the horizontal, and air resistance is assumed to be negligible, then its position after t seconds is given by the parametric equationsx=(v0 cos α) t y=(v0 sin α) t-1/2 g t2where g is the acceleration due to gravity (9.8 m / s2)(a) If a projectile is fired with α=45° and v0=900 m / s, when will it hit the ground? How...
Problem #1 (35 Points) Given The velocity of a particle as it moves along a straight line is given by v (-12+36t-6t2) ft/s, where t is in seconds. At the initial condition ( 0), so 2 ft. Find a) The acceleration of the particle as a function of time. b) The acceleration of the particle when -6 seconds. c) The position of the particle as a function of time. d) The position of the particle when -6 seconds. e) The...
A projectile is launched from ground level with an initial velocity of v 0 feet per second. Neglecting air? resistance, its height in feet t seconds after launch is given by s equals negative 16 t squared plus v 0 t. Find the? time(s) that the projectile will? (a) reach a height of 80 ft and? (b) return to the ground when v 0 is 32 feet per second. ?(a) Find the? time(s) that the projectile will reach a height...