Question

A ball is projected at an angle of 53° with horizontal at a speed of 20 m/s on a planet named *Eisteinium'. A horizontal wind starts blowing which gives a retardation to the ball in horizontal direction. It was found that ball travels in a straight line. Taking acceleration due to gravity on the planet to be 4 m/s², the magnitude of acceleration imparted by the wind is given by a m/s?. The value of a is​

Answer 1

Answer:

The value of a is $-3m/s^2$

Explanation:

Angle of projection of projectile = 53°

Horizontal speed of the ball with which it was thrown (u) = 20 m/s

acceleration due to gravity on the planet (g)=$4 m/s^2$

speed along x-axis $u_x=ucos53=12.03 m/s$

Speed along y-axis  $u_y=u sin 53=15.9 m/s$

Time of flight  $T=\frac{u_y}{g} =\frac{15.97}{4} =3.99 \approx 4s$

retardation imparted by the wind is along x direction which can be found by $a_x=\frac{v_x-u_x}{T} =\frac{0-12.03}{4}=3.0075 m/s^2$≈$-3m/s^2$.

The value of a is $-3m/s^2$.