The position of a small rocket that is launched vertically upward is given by s(t) = -5t

Question:

The position of a small rocket that is launched vertically upward is given by s(t) = -5t2 + 40t + 100, for 0 ≤ t ≤ 10, where t is measured in seconds and s is measured in meters above the ground.

a. Find the rate of change in the position (instantaneous velocity) of the rocket, for 0 ≤ t ≤ 10.

b. At what time is the instantaneous velocity zero?

c. At what time does the instantaneous velocity have the greatest magnitude, for 0 ≤ t ≤ 10?

d. Graph the position and instantaneous velocity, for 0 ≤ t ≤ 10.

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For  book-img-for-question

Calculus Early Transcendentals

ISBN: 978-0321947345

2nd edition

Authors: William L. Briggs, Lyle Cochran, Bernard Gillett

Question Posted: