A projectile fired from a gun has initial horizontal and vertical components of

Question

A projectile fired from a gun has initial horizontal and vertical components of velocity equal to 30 m/s and 40 m/s, respectively.

a. Determine the initial speed of the projectile.




b. Approximately how long does it take the projectile to reach the highest point in its trajectory?





c. Determine the max height H of the projectile.






d. Determine the Range of the projectile.







e. What is the speed of the projectile when it is at the highest point in its trajectory?






f. What is the acceleration of the projectile when it reaches its maximum height?

Explanation / Answer

a)50m/s     (using Pythagoras, a^2 + b^2 = c^2.)

b)5 seconds (Use equations of motion (SUVAT) to determine the point when the vertical component of velocity becomes 0.)

d)53 degrees (using trigonometry)

e)30 m/s    (same principal as A)

f)10 ms^-2 or g to be more accurate (Only one force is acting (gravity) so fairly simple)

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