A helium balloon rises so that its height (position) is given by s(t)=t^2 + 3t +5 (where height is measured in feet and time is measured in seconds). Assume t is greater than or equal to 0.  a. when is the balloon 45 feet high? b. how fast is the balloon rising at time 1 second? c. how fast is the balloon rising at time 4 seconds? d. what is the balloon's velocity when it is 45 feet high?

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Distance and Speed

The speed, distance and time relation forms the basis of study of motion. You will need these concepts in the study of Mechanics. This concept is applicable for students who are studying the following courses –