The position, as a function of time, of a projectile is given as x = 15.0...

Question

Question

The position, as a function of time, of a projectile is given as x = 15.0 m + (6.0 m/s)t

y = 30.0 m + (4.9 m/s)t−(4.9 m/s^2)t^2

At what time, in s, is the projectile at its maximum height?

Answer 1

Answer #1

Answer 2

Similar Homework Help Questions

A particle inoves along the x-axis. It's position as a function of time is given by...

A particle inoves along the x-axis. It's position as a function of time is given by z (t)t+22- The following questions refer to that situation. Only consider times t greater than or equal to zero fno negative values of t. Note application of the derivative is finding the maximo and minima of functions. O 1m 0 2m D Question 7 1 pts For times t between t- 0 and t 3 s, what is the minimum value of x attained...
A projectile is fired at time t=0.0 s, from point ) at the edge of a cliff

A projectile is fired at time t=0.0 s, from point ) at the edge of a cliff, with initial velocity components of V0 x=90 m / s and V0 y=500 m / s. The projectile rises, then falls into the sea at point P. The total flight time is 125 s.(a) What is the magnitude of the velocity at time t=15.0 seconds?(b) In the figure, what is the distance D?(c) What is the height of the cliff?
15. The position of an object as a function of time is given in meters by...

15. The position of an object as a function of time is given in meters by x (at + b) +(ct)j. What is its velocity as a function of time? A) v (a+b+ (o)j D) v bi B) v (a+ 2b)t+ (c) C)v (a +2bt)i + (e)) 16. The airplane shown is in level flight at an altitude of 0.50 km and a speed of 150 km/h. At what distance d should it release a heavy bomb to hit the...

A particle poves along the x-axis. It's position as a function of time is given by...

A particle poves along the x-axis. It's position as a function of time is given by z (t) =-31+ 2e-翅 The following questions refer to that situation. Only consider times t greater than or equal to zero (no negative values of t). Note Some of the questions ask about the maximum velocity attained, or the maximum x coordinate, etc. Hint: use calculus! A very important application of the derivative is finding the maxima and minima of functions 1 pts D...
horizontal position, x, of a particle as a function of time is given by the equation...

horizontal position, x, of a particle as a function of time is given by the equation xo + vo t + ½ at' , where xa vo and ao are constants. Find the velocity as a function of time. (2) Ifx0 2.0 m and vo 2.0 m/s and ao 1.0 m/s, find the acceleration of the particle in problem (1) at the time t-10.0 s
5. The position of a particle as a function of time is given by x(.5 m/)t...

5. The position of a particle as a function of time is given by x(.5 m/)t -(5.0 m/z)2 what is the average velocity of the particle between t = 1.0 s and 1.5 s?

Suppose that the position vector for a particle is given as a function of time by...

Suppose that the position vector for a particle is given as a function of time by vector r (t) = x(t)î + y(t)ĵ, with x(t) = at + b and y(t) = ct2 + d, where a = 2.00 m/s, b = 1.50 m, c = 0.118 m/s2, and d = 1.02 m.
The position of an object as a function of time is given as x= At^3 +...

The position of an object as a function of time is given as x= At^3 + Bt^2 + Ct + D. The constants are A=2.10m/s^3, B=1.00m/s^2, C=-4.10m/s, and D=3.00m. What is the velocity of the object at t = 10.0s? At what time(s) is the object at rest? What is the acceleration of the object t = 0.50s What is the acceleration as a function of time for the time interval from = -10.0s to t=10.0s
Suppose that the position vector for a particle is given as a function of time by...

Suppose that the position vector for a particle is given as a function of time by r(t) = x(t)1 + y(t)j, with x(t)-at + b and y(t)-ct2 + d, where a-1.90 m/s, b-1.40 m, c 0.130 m/s2, and d 1.08 m. (a) Calculate the average velocity during the time interval from t2.20 s to t3.85s m/s (b) Determine the velocity at t- 2.20 s. m/s Determine the speed at t2.20 s. m/s

Suppose that the position vector for a particle is given as a function of time by...

Suppose that the position vector for a particle is given as a function of time by (t) = x(t)î + y(t)ĵ, with x(t) = at + b and y(t) = ct2 + d, where a = 1.40 m/s, b = 1.50 m, c = 0.121 m/s2, and d = 1.18 m. (a) Calculate the average velocity during the time interval from t = 2.10 s to t = 3.90 s. = m/s (b) Determine the velocity at t = 2.10...