A cyclist approaches the bottom of a gradual hill at a speed of 11 m/s. The hill is 5.0 m high, and the cyclist estimates that she is going fast enough to coast up over it without pedaling. Ignoring air resistance and friction.
(a) find thd speed at which the cyclist crest the hill.
(b) A second cyclist repeats the same route, but his weight plus the bike is douh velocity as he crests the hill?
(c) A third cyclist of total mass 70kg repeats the same route. He uses a cheap bike, What is the resultant velocity as he crests the hill?

Price and efficiency variances, journal entries. the schuyler corporation manufactures lamps. it has set up the following standards per finished unit for direct materials and direct manufacturing labor: direct materials: 10 lb. at $4.50 per lb. $45.00 direct manufacturing labor: 0.5 hour at $30 per hour 15.00 the number of finished units budgeted for january 2017 was 10,000; 9,850 units were actually produced. actual results in january 2017 were as follows: direct materials: 98,055 lb. used direct manufacturing labor: 4,900 hours $154,350 assume that there was no beginning inventory of either direct materials or finished units. during the month, materials purchased amounted to 100,000 lb., at a total cost of $465,000. input price variances are isolated upon purchase. input-efficiency variances are isolated at the time of usage. 1. compute the january 2017 price and efficiency variances of direct materials and direct manufacturing labor. 2. prepare journal entries to record the variances in requirement 1. 3. comment on the january 2017 price and efficiency variances of schuyler corporation. 4. why might schuyler calculate direct materials price variances and direct materials efficiency variances with reference to different points in time

In early january, burger mania acquired 100% of the common stock of the crispy taco restaurant chain. the purchase price allocation included the following items: $4 million, patent; $3 million, trademark considered to have an indefinite useful life; and $5 million, goodwill. burger mania's policy is to amortize intangible assets with finite useful lives using the straight-line method, no residual value, and a five-year service life. what is the total amount of amortization expense that would appear in burger mania's income statement for the first year ended december 31 related to these items?

Afirm is producing at minimum average total cost with its current plant. draw the firm's long-run average cost curve. label it. draw a point on the lrac curve at which the firm cannot lower its average total cost. draw the firm's short-run average total cost curve that is consistent with the point you have drawn. label it.g