 Red E.

# If a certain cannon is fired from a height of 9.7 meters above the​ ground, at a certain​ angle, the height of the cannonball above the​ ground, h, in​ meters, at​ time,.....

If a certain cannon is fired from a height of 9.7 meters above the​ ground, at a certain​ angle, the height of the cannonball above the​ ground, h, in​ meters, at​ time, t, in​ seconds, is found by the function h(t) = -4.9t^2+24.5t+9.7

​a) Find the maximum height attained by the cannonball.

​b) Find the time it takes for the cannonball to reach its maximum height.

​c) Find the time it takes for the cannonball to strike the ground.

a) The maximum height of the cannonball is ______ meters.

​(Type an integer or a decimal. Round to the nearest hundredth as​ needed.)

​b) The cannonball is at a maximum height after ________ seconds.

​(Type an integer or a decimal. Round to the nearest hundredth as​ needed.)

​c) The cannonball will strike the ground after about ______ seconds.

​(Type an integer or a decimal. Round to the nearest hundredth as​ needed.)