Question

An object was launched from the ground. The height $h$ of the object, in meters, above the ground $t$ seconds after it was launched can be modeled by the function $h(t) = -4.9t^2 + 29.4t$, where $0 \le t \le 6$. According to the model, for which of the following values of $t$ was the height of the object greater than 30 meters above the ground? Indicate all such values. 1 2 3 4 5

Name: an object was launched from the ground the height h of the object in meters above the ground t seconds after it was launched can be modeled by the function ht 49t2 294t where 0 le t le 6 acc 59317
Uploaded: 2023-06-06T19:38:05-08:00
Duration: 5 min 17 s
Channel: Jerelyn Nevil
Description: an object was launched from the ground the height h of the object in meters above the ground t seconds after it was launched can be modeled by the function ht 49t2 294t where 0 le t le 6 acc 59317

          An object was launched from the ground. The height $h$ of the object, in meters, above the ground $t$ seconds after it was launched can be modeled by the function $h(t) = -4.9t^2 + 29.4t$, where $0 \le t \le 6$. According to the model, for which of the following values of $t$ was the height of the object greater than 30 meters above the ground?

Indicate all such values.

1
2
3
4
5

an object was launched from the ground the height h of the object in meters above the ground t seconds after it was launched can be modeled by the function ht 49t2 294t where 0 le t le 6 acc 59317

Added by April L.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Jerelyn Nevil

06/06/2023

Step 1

The function for the height is given by $h(t) = -4.9t^2 + 29.4t$. We need to solve the inequality $h(t) > 30$. Step 2: Set up the inequality. $-4.9t^2 + 29.4t > 30$ Step 3: Rearrange the inequality to have 0 on one side. $-4.9t^2 + 29.4t - 30 > 0$ Step 4: Show more…

Show all steps

Thanks for your feedback!

An object was launched from the ground. The height $h$ of the object, in meters, above the ground $t$ seconds after it was launched can be modeled by the function $h(t) = -4.9t^2 + 29.4t$, where $0 \le t \le 6$. According to the model, for which of the following values of $t$ was the height of the object greater than 30 meters above the ground? Indicate all such values. 1 2 3 4 5