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 fixed numbers c, t1, and t2.

Solutions

Expert Solution

milcah answered 1 year 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 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,...

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; _____________________

A ball is thrown vertically upward from the top of a building 112 feet tall with...

A ball is thrown vertically upward from the top of a building 112 feet tall with an initial velocity of 96 feet per second. The distance s  (in feet) of the ball from the ground after t seconds is s (t) = 112 + 96t - 16t2 Complete the table and discuss the interpretation of each point. t s(t) Interpretation 0 0.5 1 2 100 100 200 200 Answer these questions. After how many seconds does the ball strike the...

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?

If a bridge is above a river approximately 10 miles from the sea with a bridge...

If a bridge is above a river approximately 10 miles from the sea with a bridge deck of 170m What type of concrete is should be used? will it be sulphate resistant concrete or high performance concrete or any other? What will the Eurocode exposure class be ? will it be XS1 or XD1? or something else? Will it be EN206/BS8500 type of concrete?

A particle is uncharged and is thrown vertically upward from ground level with a speed of...

A particle is uncharged and is thrown vertically upward from ground level with a speed of 23.1 m/s. As a result, it attains a maximum height h. The particle is then given a positive charge +q and reaches the same maximum height h when thrown vertically upward with a speed of 29.3 m/s. The electric potential at the height h exceeds the electric potential at ground level. Finally, the particle is given a negative charge -q. Ignoring air resistance, determine...

a Ball is thrown upward from the top of a 23.5 m building with a speed...

a Ball is thrown upward from the top of a 23.5 m building with a speed of 12.4 m/s. ignore air resistance A) draw and label a figure with a coordinate system showing the balls initial position and initial velocity. B) write down the proper equations of motion and replace all known initial conditions and constant values with their appropriate numerical values to find the following C)to what maximum height above the ground will the ball rise? D) how much...

A 2kg rock is thrown horizontally from the top of a building that is 20m high....

A 2kg rock is thrown horizontally from the top of a building that is 20m high. The rock’s initial horizontal velocity is 5m/s. When the rock is halfway to the ground, what is the net force on it (including direction)? How long did it take for the rock in problem 1 to hit the ground? How far from the base of the building did the rock in problem 1 hits？

Subjects