HELP FOR CHILD: Calculus Help with Bullet Problem (h(t)=-4.9t^2+900t+2.4)

[los2222]

a bullet is fired straight up in the air at a speed of 900 m/s. The equation relating its height as a function of time is h(t)=-4.9t^2+900t+2.4.

1. How long does it take the bullet to hit the ground?
2. What are the max and min values of velocity of the bullet?
3. What is the velocity of the bullet after 60 seconds?
4. What direction is the bullet traveling at 60 seconds?

 

[Deleted member 4993]

a bullet is fired straight up in the air at a speed of 900 m/s. The equation relating its height as a function of time is h(t)=-4.9t^2+900t+2.4.

1. How long does it take the bullet to hit the ground?
2. What are the max and min values of velocity of the bullet?
3. What is the velocity of the bullet after 60 seconds?
4. What direction is the bullet traveling at 60 seconds?

Where exactly is your child "lost"?

When bullet hits the ground ,

Let

t = t_{o .............}thenh(t_o) = 0

so s/he needs to solve for t_o from:

0 = -4.9*t₀^2 + 900*t₀ + 2.4

If s/he is still stuck contact us showing work from previous hint, and will go further.

 

[stapel]

a bullet is fired straight up in the air at a speed of 900 m/s. The equation relating its height as a function of time is h(t)=-4.9t^2+900t+2.4.

1. How long does it take the bullet to hit the ground?
2. What are the max and min values of velocity of the bullet?
3. What is the velocity of the bullet after 60 seconds?
4. What direction is the bullet traveling at 60 seconds?

Unfortunately, we have learned from experience that attempting to communicate through a "translator" who doesn't actually "speak the language" is unlikely to be at all successful. However, since your child is taking calculus, s/he is likely in high school or college. So kindly please have your child reply directly with his/her thoughts and efforts so far. For instance, the answer to part (1) requires only beginning algebra, and the answer to part (4) can be found from a graph.

Thank you!

 

[sinx]

a bullet is fired straight up in the air at a speed of 900 m/s. The equation relating its height as a function of time is h(t)=-4.9t^2+900t+2.4.

1. How long does it take the bullet to hit the ground?
2. What are the max and min values of velocity of the bullet?
3. What is the velocity of the bullet after 60 seconds?
4. What direction is the bullet traveling at 60 seconds?

1. when the bullet hits the grnd, height=0
0=-4.9t^2+900t+2.4
solve for t