The position at time t seconds of a pebble dropped from an initial height of 600 feet is given by s(t)--16r + 600. a. At what time will the pebble hit the ground? b. What is the pebble's velocity when it hits the ground? What is the pebble's speed when it hits the ground? C.

94 in x 114 in (24 cm x 29 cm) with Prongs EAR -rocket Portfolio Stenes, inc Distributed 3. A ball is thrown straight up with an initial velocity of 128 ft/sec., so that its height 844106 031076 (in feet) after t seconds is given by s(1) = -16t2 +128 A. What is the average velocity of the ball over the time intervals? a. [2, 3] b. [2, 2.5] c. [2. 2.1] B. What is the instantaneous velocity at time t 2? C. What is the instantaneous velocity at time t-5? Is the ball rising or falling? D. When will the ball hit the ground? An object is dropped from a certain height. It is known that it will fall a distance s, in

4. Marcus throws a rock straight up into the air. It leaves his hand 1.2 meters above the ground, and it hits the ground 3.5 seconds later. Find a. the initial speed of the rock when it leaves his hand b. the maximum height the rock reaches before falling back down, relative to the ground c. the speed of the rock right before it hits the ground

A hot air balloon flying horizontally at a velocity of 50m/s and at an altitude of 475 meters when one if its sandbags falls off.  A. How long (in seconds) does it take the sand bags to reach the ground? B. What horizontal distance (in meters) will the bag travel before it strikes the ground?

A ball is thrown straight up. What is the velocity and  acceleration of the ball at the higest point (peak)?   A. velocity = 0m/s and acceration = 9.8 m/s2 down.   B. velocity = 0 m/s  amd acceleration = 0 m/s2   C. velocity = 0 m/s and acceleration = 9.8 m/s2 up   D. velocity = 9.8 m/s up and acceleration = 0 m/s2

If the velocity is constant towards the right direction, the graph of displacement x vs time t is a A. line with a positive slope. B. line with negative slope. C. parabola in the first quadrant. O D. parabola in the 4th quadrant. An object is moving towards the right direction. Velocity is constant. The graph of velocity vs time t is a line O A. along the t axis B. parallel to the t axis C. parallel to the v axis. O D. with nonzero slope. Velocity of a moving object is towards the right. Velocity is constant. The graph of acceleration a vs time t is a A. line parallel to the acceleration a axis. B. line along the acceleration a axis. C. line along the t-axis. OD.line with positive slope.

At 10:17 a.m., you pass a police car at 55 mph that is stopped on the freeway. You pass a second police car at 55 mph at 10:53 a.m., which is located 39 mi from the first police car. If the speed limit is 60 mph, can the police cite you for speeding? а. a. The total time between your two police car sightings was P hours. b. Your average speed between the two police car sightings was 8, mph. c. Can the police cite you for speeding? No, your average speed was less than the speed limit. CYes, since your average speed was more than the speed limit, there must have been somewhere within the 39 mi where you were driving more than 60 mph.

A ball is dropped from rest from the top of a building. Two motion detectors which are positioned outside of two different windows, one above the other, record the velocities of -15.5 m/s and -17.2 m/s as the ball goes past them. (no air resistance) a. How far apart are the motion sensors mounted? b. How far from the top motion sensor is the top of the building where the ball was released? c. If the second motion sensor can also measure the time it takes for the ball to hit the ground after passing it as 3.50 seconds, how tall is the building?

2. A jet plane has a takeoff speed of vtakeoff = 73 m/s and can move along the runway at an average acceleration of 2.4 m/s2. The runway is 1.2 km. Write out the 3 Kinetic equations. a. b. Write out the values of initial position, initial velocity, and acceleration. How many seconds will it take for the plane to reach takeoff speed? с. d. How far will the plane have to travel to get to takeoff speed? will the plane be able to get to take off before it gets to the end of the runway? е.

The Hint The position of a particle moving along the x axis is given by x = (21 +22t+8t²) m, where t is in s. What is the instantaneous velocity of the particle at t= 5.0 s ? a. b. C. e. f. 10.2m/s -2.0 m/s -82.0m/s 331 m/s 102m/s -6.0 m/s