Answered: 6. Suppose an object is thrown up in… | bartleby

Related questions

Question

6. Suppose an object is thrown up in the air and then it falls back down. Its height is given by the function
S
h(t) = 20t2 (2 – t).
(a) Find the velocity function.
(b) At what time t > 0 does the object hit the ground?
(c) At what time t > 0 does the object stop moving?
(d) Is the object moving upwards or moving downwards at t = 1? Say why.
(e) Find the acceleration function.

Expert Solution

Trending now

This is a popular solution!

Step by step

Solved in 3 steps

SEE SOLUTION Check out a sample Q&A here

Blurred answer

Similar questions

3. In Physics, the height of a free-falling object at a given time t is given by h = –16t² + v,t + h., where v, is the initial velocity, and h, is the initial height. A student throws a ball upward from a height of 48ft, initially at 32 ft/s. What is the maximum height of the ball?
Consider a grey squirrel falling from a tree to the ground. Use a coordinate system in which positive is downward for this problem. a) Find the squirrel’s velocity, in meters per second, just before hitting the ground when it falls from a height of 1.3 m. Ignore air resistance. b) The squirrel softens its landing by bending its legs when it touches the ground, thereby stopping itself over a distance of 7.6 cm. Assuming a constant rate of deceleration, find the squirrel’s acceleration during this process, in meters per second squared.
1. A particle moves according to the equation x = 2t³ - 2t + 1, where x is in meters and t in seconds. (a) Find instantaneous acceleration as a function of time. (b) Find the value of the instantaneous acceleration at t = 3.5 s.
5. An object is released from rest (its initial velocity is zero) from the Empire State Building at a height of 1250 ft above street level. The height of the object can be modeled by the position function s = f(t) = 1250 - 16t². (a) Verify that the object is still falling at t = 5 s. (b) Find the object's instantaneous velocity at time t = 6 s. (c) If the object moves at constant velocity, what is its acceleration? Provide justifica- tion. S - 1250
A thoughtful person on a bridge reflecting on his awesome Physics class sees a small stone by his feet. Hmm, he thought to himself. Using his foot he slowly nudged the stone off the surface of the bridge and using his cell phone he timed how long it took to hit the water, about 1.75 s. How high (m) is the bridge above the water? (neglect air resistance)
2. An object of mass 200 g (0.2 kg) is thrown vertically upwards with a velocity of 8 m/s from a height of 10 m above the ground. It reaches certain maximum height and falls straight back to ground. Ignore air resistance in this problem. (a) Draw v-t graph that represents the velocity of the object after it is launched upwards and until it hits the ground. (b) How long does it take for the object to reach the maximum height? (c) What is the maximum height of the object from the ground? (d) How long does it take for the object to reach the ground from the highest point of motion? (e) What is the velocity of the object as it reaches ground? (Hint: Not zero).
8. A 200 kg weather rocket is loaded with 100 kg of fuel and fired straight up. It accelerates upward at 30 m/s² for 30 s, then runs out of fuel. Ignore any air resistance effects. (a) What is the rocket's maximum altitude? (b) How long is the rocket in the air before hitting the ground?
The first active volcano observed outside the earth was discovered in 1970 on Io, one of the moons of jupiter. The volcano was observed ejecting material to the height of about 3x105m. Given the acceleration of gravity on Io is 1.8 m/s2. Find: a. The initial velocity of the ejected material. b. What is the velocity at half that height?
6. A ball is thrown upward with a velocity of 4.5 m/s. Its speed and the magnitude of its acceleration at the highest point (a) are both equal to zero (b) are given by 9.81 m/s and 0 m/s², respectively (c) are given by 0 m/s and 9.81 m/s², respectively (d) cannot be predicted unless the height is known Answer: 7. Which of the following statements about a projectile is not true? Assume that the air resistance is negligible. (a) Its motion is in two dimensions. (b) The only acceleration is in the vertical direction. (c) Its velocity in the horizontal direction remains the same throughout the flight. (d) The velocity at the highest point of its trajectory is zero. Answer:
A car traveling in a straight line with an initial velocity of 34 m/s accelerates at a rate of 2.0 m/s2 to a velocity of 58 m/s. What is the distance covered by the car in this process?
A ball is thrown vertically upward with an initial speed v and reaches a maximum height y1. The same ball is thrown with an initial speed 3v to reach the maximum height y2. What is the correct relationship between y2 and y1? А. y2 = ½ y1 В. y2 = 2 y1 %D С. y2 = 4 y1 y2 = 9 y1 D.
Problem 5 2.68 A rigid ball traveling in straight line (the x-axis) hits a solid wall and suddenly rebounds during a brief instant. The vy-t graph shows this Vx (m/s) 30.0 ball's velocity as a function of time. During the first 20.0 s of its motion, find: (a) the total distance the ball moves and (b) its displacement. (c) Sketch a graph of ax-t for this ball's motion. 20.0 (d) Is the graph shown really vertical at 5.0 s? Explain. 10.0 t (s) 5.0 10,0 15.0 20,0 Total distance traveled = 225.0 m a) b) Displacement = -75.0 m %3D -10.0 -20.0

SEE MORE QUESTIONS