Question

In: Math

A rock is thrown upward from a bridge that is 83 feet above a road. The rock reaches its maximum height above the road 0.61 seconds after it is thrown and contacts the road 3.87 seconds after it was thrown.

 

A rock is thrown upward from a bridge that is 83 feet above a road. The rock reaches its maximum height above the road 0.61 seconds after it is thrown and contacts the road 3.87 seconds after it was thrown.

Write a function f that determines the rock's height above the road (in feet) in terms of the number of seconds tt since the rock was thrown. THE FUNCTION MUST BE IN THE FORMAT f(t)=c⋅(t−t_1)(t−t_2) for fixed numbers c, t_1, and t_2. NOT f(x)= -16t^2+40.47297t+83 I already know how to do that.

Solutions

Expert Solution

The complete solution is provided in the attachments.

milcah answered 2 years ago
Next > < Previous

Related Solutions

A rock is thrown upward from a bridge that is 31 feet above a road. The...
A rock is thrown upward from a bridge that is 31 feet above a road. The rock reaches its maximum height above the road 0.57 seconds after it is thrown and contacts the road 2.53 seconds after it was thrown. Write a function ff that determines the rock's height above the road (in feet) in terms of the number of seconds tt since the rock was thrown. f(t)=
A rock is thrown upward from a bridge that is 59 feet above a road. The...
A rock is thrown upward from a bridge that is 59 feet above a road. The rock reaches its maximum height above the road 0.9 seconds after it is thrown and contacts the road 2.4 seconds after it was thrown. Write a function f that determines the rock's height above the road (in feet) in terms of the number of seconds t since the rock was thrown. f(t)=    Hint: the function f can be written in the form f(t)=c⋅(t−t1)(t−t2) for...
A stone is thrown upward on the moon with its height (in feet) after t seconds...
A stone is thrown upward on the moon with its height (in feet) after t seconds given by h(t) = 20 − 5t2. Include units with your answer. a) What is the acceleration of the stone at 2 seconds? b) What is the average velocity of the stone between 1 and 3 seconds? c) What is the instantaneous velocity of the stone at 2 seconds? d) With what velocity does the stone hit the ground?
Suppose a ball has a maximum height of 24 feet after 11 seconds of travel. This...
Suppose a ball has a maximum height of 24 feet after 11 seconds of travel. This same ball will have a height of 8 feet after 20 seconds of travel. Find Upper H left parenthesis Upper T right parenthesis equals AT squared plus BT plus Upper C commaH(T)=AT2+BT+C, where​ H(T) is the height of the ball in inches after T seconds. Answers in Exact Form.
A tennis ball is it at ground level. The ball reaches its maximum height above the...
A tennis ball is it at ground level. The ball reaches its maximum height above the ground level 1 sec. after being hit. Then 0.9 seconds after reaching its maximum height, the ball barely clears the net that is 3 m from where the tennis ball was hit. Assume the ground is level. How high is the net?  How far beyond the net does the tennis ball strike the ground?
A rock is thrown upward from a bridge into a river below. The function f(t)=−16t^2+36t+136 determines...
A rock is thrown upward from a bridge into a river below. The function f(t)=−16t^2+36t+136 determines the height of the rock above the surface of the water (in feet) in terms of the number of seconds t since the rock was thrown. What is the bridge's height above the water? How many seconds after being thrown does the rock hit the water? How many seconds after being thrown does the rock reach its maximum height above the water? What is...
A ball is thrown upward with an initial velocity of 32 ft/sec from a tower 48 feet above ground
  A ball is thrown upward with an initial velocity of 32 ft/sec from a tower 48 feet above ground. Assume that the only force affecting the ball during travel is from gravity, which produces downward acceleration of 32 ft/sec^2. Then The maximum height reached by the ball is: ____________________ The ball hits the ground at time t; _____________________
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT