A rocket, initially at rest on the ground, accelerates upward with a constant acceleration of 94.0 m/s2 until it reaches a speed of 1.50E2 m/s when the engines are cut off. After that, the rocket is in free-fall. What is the maximum height reached by the rocket?

Abby throws a ball straight up and times it. She sees that the ball goes by the top of a flagpole after 0.400 s and reaches the level of the top of the pole after a total elapsed time of 4.00 s. What was the speed of the ball at launch?

A missile silo is used to launch military rockets vertically upward out of the silo, giving the rocket an initial speed of 79.6 m/s at ground level. As the rocket clears the silo, the engines fire, and the rocket accelerates upward at 3.90 m/s2 until it reaches an altitude of 1,080 m. At that point its engines fail, and the rocket goes into free fall, with an acceleration of -9.80 m/s². (You will need to consider the motion while the engine is operating and the free-fall motion separately. Due to the nature of this problem, do not use rounded intermediate values in your calculations-including answers submitted in WebAssign.) (a) Determine the velocity of the rocket (in m/s) at the end of the engine burn time and also the burn time (in s). (For the velocity, indicate the direction with the sign of your answer.) velocity at end of engine V = 92.22 Check your kinematic equation relating vo, V1, ay, and AYo → 1 (where velocity of rocket as it clears the silo, v, = velocity of the rocket at…

This time you drop a ball from a height of 1.82 m and it hits the floor 0.365 s after you drop it. This time you suspect you are on a rocket that has just left the surface of the Earth, and is still not too far above the ground. What do you deduce the rocket s acceleration to be?     27.3 m/s^2     33.3 m/s^2     17.5 m/s^2     37.1 m/s^2

A cheetah at rest notices a gazelle standing at a distance of 150.0 m. At the same time the gazelle notices the cheetah. The gazelle accelerates at 2.0 m/s2 for 8.0 s, after which it has reached top speed. The cheetah accelerates at 2.5 m/s2 until it has reached its top speed of 115.2 km/h. It can only continue at this speed for 35 s. Will the cheetah catch the gazelle? If so, when and where?

An astronaut exploring a distant solar system lands on a planet with a gravitational acceleration of 7.46 m/s2. What is the maximum height an astronaut could reach when jumping straight up starting with an initial speed of 1.80 m/s?

You toss a stone straight up and it comes back down in a total time of 6 s, what is the speed of the stone when it comes back to the same hight from where you tossed it. Ignore air resistance. 100 m/s 20 m/s 10 m/s 30 m/s

Planet X was just discovered orbitinga nearby star! It orbits a start that is 6.9 times themass of our sun in a solar system just 31.3 light-years away. The acceleration due to gravity thereis 0.07 g. After making some measurements in lab, you start to daydream about travel to other planets. Your spring gun can launch a projectile with a speed of 3.7 m/s. What would happen if you were tolaunch a projectile at an angle of 32 ° abovehorizontal on Planet X? (a) What maximum height would the projectilereach?(b) How far would the projectile travel before ithit the ground? Assume the projectile lands at the same height it was launched from.

-b+√b²-4ac 2a x = xo + vot + ½ât², v = vô + āt, v² = v² + 2ảAx, t = ² Problem 1: A ball is thrown straight up from the ground. The ball reaches a maximum height of 5 m. For simplicity, use g = 10 m/sec². a) What is the initial speed of the ball? Answer: 10 m/sec b) What is the time it takes the ball to reach the maximum height of 5 m? Answer: 1 sec c) What is the time it takes the ball to hit the ground? Answer: 2 sec d) At what times is the ball at a height of 3 m above the ground? Answer: 0.37 sec and 1.63 sec e) What is the velocity of the ball when it is at a height of 3 m above the ground? Answer: +6.3 m/sec or -6.3 m/sec.

You wake up in a strange room with no windows. This time you drop a ball from a height of 2.24 m and it hits the floor 0.203 s after you drop it. This time you suspect you are on a rocket that has just left the surface of the Earth, and is still not too far above the ground. What do you deduce the rocket s acceleration to be?     98.9 m/s^2     118.5 m/s^2     108.7 m/s^2     178.0 m/s^2