At a time t seconds after it is thrown up in the air, a tomato is at a height of f(t) = -4.9t^2 + 25t + 3 meters.
(a) What is the average velocity of the tomato during the first 1.7 seconds? Include units.
I know the units are m/sec but I can't get the average velocity!
(b) Find the instantaneous velocity of the tomato at t = 1.7. Include units.
It's 8.34 m/sec.
(c) What is the acceleration at t = 1.7?
-9.8 m/sec^2
(d) How high does the tomato go?
34.89 m
(e) How long is the tomato in the air?
I can't get this!! _______ sec
I'm so lost. Thank you =)
In reference to "a", thank you, I know. But for some reason I'm not getting it correct. Could you solve it for me please?
As you said, this is in the calculus section. And is a calculus problem. I am taking calculus. Therefore, I do know a thing or two.
But the online quiz is telling me I'm incorrect and I want to see what your answer is.
Terribly sorry.
There are several ways of doing this but as this is a calculus problem I will assume that you are to find the height when the velocity is zero. So we start by solving:
for and then substitute the time that we find back into to find the maximum height.
When the tomato lands f(t)=0. this is a quadratic one root is negative and so of no interest, the other is positive and is the time that the tomato is in the air (it is the time after it is thrown that it hits the ground)(e) How long is the tomato in the air?
I can't get this!! _______ sec
CB
Captain Black, I did post what I know. I posted my answers. I just did not get 'a' or 'e'. I do not know how to do 'e' whatsoever, but for 'a' I used the formula for average velocity: f(1.7)-f(0)/1.7-0.
I tried two ways. And neither were correct.
I did (-4.9(1.7)^2 + 25(1.7) + 3 - 3) / 1.7
But that was incorrect.
Then I did -9.8(1.7) + 25 + 25 / 1.7
Also incorrect. It was probably a stupid mistake due to the fact that it's very late, but what am I doing wrong?