Question

A projectile is launched with an initial speed of 40.0 m/s at an angle of 35.0° above the horizontal. The projectile lands on a hillside 3.85 s later. Neglect air friction. (Assume that the +x-axis is to the right and the +y-axis is up along the page.) (a) What is the projectile's velocity at the highest point of its trajectory? magnitude m/s direction ° counterclockwise from the +x-axis (b) What is the straight-line distance from where the projectile was launched to where it hits its target? m

Answer 1

a)

Initial horizontal velocity of projectile

Initial vertical velocity of projectile

At the highest point of projectiles trajectory, its vertical velocity is zero, it has only horizontal velocity which is same as initial horizontal velocity.

and

Velocity of projectile at highest point

b) Horizontal distance travelled by projectile

Vertical distance travelled by projectile

Straight line distance from where the projectile was launched to where it hits target is