Question

If a rock is thrown upward on the planet Mars with a velocity of 11 m/s, its height (in meters) after t seconds is given by H = 11t − 1.86t2. Find the velocity of the rock when t = a.

Answer 1

To find the velocity of the rock when t = a, substitute the value of t = a into the equation H = 11t - 1.86t^2. The velocity of the rock when t = a would depend on the specific value of a and would need to be evaluated using the given equation.

Step-by-step explanation:

To find the velocity of the rock when t = a, we need to substitute the value of t = a into the equation that gives the rock's height. The equation for the height of the rock is given as H = 11t - 1.86t^2. So, when t = a, the height becomes H = 11(a) - 1.86(a^2).

For example, if a = 2, then the height of the rock would be H = 11(2) - 1.86(2^2) = 22 - 7.44 = 14.56 meters.

Therefore, the velocity of the rock when t = a would depend on the specific value of a and would need to be evaluated using the given equation.