A stone is thrown straight up from the edge of a roof, 950 feet above the ground, at a speed of 20 feet per second. Meaning, initial velocity, (0) = 20 ft/sec and initial height, $(0) = 950 ft. Acceleration equation is a(t) = - 32 ft/sec? a. Find the velocity at any time, t. v(t) = b. c. Find the position of the stone at any time, t. s (t) = d. How high is the stone 5 seconds after it was thrown? :(5) = ft e. How many seconds after it is thrown does the stone hit the ground? (Round answer to 2 decimal places.) t = sec f. What is the velocity of the stone when it hits the ground? (Round answer to 2 decimal places.) Velocity is ft/sec A particle is moving with acceleration a(t) = 24t + 10. Its position at time t = 0 is s(0) = 4 and its velocity at time t = 0 is v(0) = 17. What is its position at time t = 3? A car is being driven at a rate of 46 mph (or 67.47 ft/sec) when the brakes are applied. The car decelerates at a constate rate of 10 ft/sec". (Round answers to 4 decimal places) a. How long does it take before the car comes to a stop? t = b. How far does the car travel in the time it takes to stop? Distance Travelled is