Chapter 3.5, Problem 45E

A car moved distance S meters in a timet seconds, according to the formula S = 3t3 – 2t? + 4t – 1. Determine: 1.1 velocity at (i) t = 0, (ii)t = 1.5s. 1.2 Acceleration at (i) t = 0, (ii)t = 1.5s.

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An object is dropped from a tower, 180 ft above the ground. The object's height above ground t sec into the fall is s = 180- 16t2. a. What is the object's velocity, speed, and acceleration at time t? b. About how long does it take the object to hit the ground? c. What is the object's velocity at the moment of impact?

A wind is blowing giving the projectile the acceleration of 9m/s2 in the positive direction of the y-axis. Assuming that the gravity is 9.5m/s2, write the acceleration of the projectile at any time t. a(t)= BSP;+ OOP.

vn] An equation of the motion of the form s = 80t – 16r? represents an object thrown upward with initial velocity of 80 ft/sec. a. Find the maximum height. the velocity b. Find acceleration of the object when height is 96 feet. and

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A spring is stretched a distance x from its original length. The potential energy stored in the spring is directly proportional to x squared. The potential energy stored in the spring when it is stretched 0.25m is 600 J. Derive an equation for the potential energy stored in the spring. Note:  You must determine the value of the constant.

A mass weighting 64 lbs stretches a spring 3 inches. The mass is in a medium that exerts a damping force of 252 lbs when the mass has a speed of 6 ft/sec. Suppose the object is displaced an additional 7 inches and released. Find an equation for the object's displacement, u(t), in feet after t seconds. u(t) =