A3 kg penguin is pushed by his penguin friends who give him an initial speed vo at the top of a 30 m hill. the penguin is hoping this will be enough initial speed that he can make it all the way down this hill and up the next hill which is 45 m tall. neglecting friction and air resistance, what does the initial speed need to be for him to make it up this second hill?

The temperature in gavin's oven is a sinusoidal function of time. gavin sets his oven so that it has a maximum temperature of 280°f and a minimum temperature of 240°. once the temperature hits 280°, it takes 20 minutes before it is 280° again. gavin's cake needs to be in the oven for 30 minutes at temperatures at or above 270°. he puts the cake into the oven when it is at 260° and rising. how long will gavin need to leave the cake in the oven? (round your answer to the nearest minute.)