Question

A cannonball is shot into the air from the top of a tower. Its height above...

  1. A cannonball is shot into the air from the top of a tower. Its height above the ground, in metres, at any time t, in seconds, is given by the function h(t)=-4.9t2+50t+30.

    1. Find the average velocity of the cannonball from t = 1 to t = 2 seconds

    2. Use limits to find the instantaneous velocity of the cannonball at t = 6 seconds

Math   Calculus   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
If a cannonball is shot directly upward with a velocity of 208 feet per second, its...
If a cannonball is shot directly upward with a velocity of 208 feet per second, its height above the ground after t seconds is given by ?(?) = 216? − 16? 2 . a. Find the velocity and acceleration after t seconds. b. What is the maximum height the cannonball reaches? c. How long does it take to reach the maximum height?
A cannonball is shot (from ground level) with an initial horizontal velocity of 33 m/s and...
A cannonball is shot (from ground level) with an initial horizontal velocity of 33 m/s and an initial vertical velocity of 25 m/s. What is the initial speed of the cannonball? What is the initial angle θ of the cannonball with respect to the ground? What is the maximum height the cannonball goes above the ground? How far from where it was shot will the cannonball land? What is the speed of the cannonball 3.6 seconds after it was shot?...
A coin is dropped from the top of a building. Its height s (in feet) at...
A coin is dropped from the top of a building. Its height s (in feet) at time t (in seconds) is given by ?(?)= −16?^2 + 195 Find the average velocity of the coin over the interval [1,2] Compute the instantaneous velocity of the coin when ?=1 Compute the instantaneous velocity of the coin when ?=2 At what time will the coin hit the ground? What is the velocity of the coin when it hits the ground?
5. The height s at time t of a silver dollar dropped from the top of...
5. The height s at time t of a silver dollar dropped from the top of a building is given by , where s is measured in feet and t is measured in seconds. Find the average velocity on the interval [1,2]. Find the instantaneous velocity when t = 1 and t = 2. How long will it take for the dollar to hit the ground? Find the velocity of the dollar when it hits the ground. Find the acceleration...
A 3 kg cannonball is shot straight up from ground level at a velocity of 30...
A 3 kg cannonball is shot straight up from ground level at a velocity of 30 m/s. For the following questions, neglect air resistance and assume acceleration due to gravity is -10 m/s2. (a) Use the 1D equations of motion to find: i. The maximum height the cannonball reaches ii. The time it takes to reach this height iii. The time it takes to fall back to the ground iv. The speed with which it hits the ground
A cannonball is shot in air such that its initial vertical velocity is 77 m/s and...
A cannonball is shot in air such that its initial vertical velocity is 77 m/s and its initial horizontal velocity is 12 m/s. Find (a) the time of flight of the cannonball, (b) the maximum vertical height it climbs (c) the horizontal distace it travels?
A cannonball, weighing 19.1 kg, is shot from a cannon sitting on a ledge a height...
A cannonball, weighing 19.1 kg, is shot from a cannon sitting on a ledge a height of 2.50 m above sea-level toward a castle. It is shot with a velocity of 42.0 m/s at an angle of 55.0° above the horizontal. The cannonball impacts on the castle wall 5.70 s later. (a) At what height, in feet, does the cannonball hit the castle wall? (b) What is the cannonball’s impact velocity (magnitude and direction) just before hitting the cliff? (c)...
A stone is thrown vertically up from the top of a tower with a certain initial...
A stone is thrown vertically up from the top of a tower with a certain initial velocity. It reaches ground in t seconds .(7.15). A second stone, thrown down from the same tower with the same initial velocity reaches ground in 3.6 seconds. Determine (i) the height of the tower, and (ii) the initial velocity of the stones
Q3: A cannonball with an initial height of 1.5 meter above the ground is fired from...
Q3: A cannonball with an initial height of 1.5 meter above the ground is fired from a cannon at an angle of θ above the horizontal and with initial velocity of 40 m/s. The cannonball travels a horizontal distance of 30 meters and passes over a 14 meter high castle wall. Find the initial firing angle θ How much time it takes for the ball to pass over the castle wall ?. Find the velocity (magnitude and direction ) if...
A rock is dropped from a height of 64 ft. It is determined that its height...
A rock is dropped from a height of 64 ft. It is determined that its height (in feet) above ground t seconds later (for 0≤t≤2) is given by s(t)=−16t2+64. Find the average velocity of the rock over each of the given time intervals. Use this information to guess the instantaneous velocity of the rock at time t=0.5. 1. [0.49, 0.5] 2. [0.5, 0.51] Can you please show every step to solving this problem?
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT